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Finding the Fourth Proportional to 1,948.61, 2,920.48 and 974.99

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Solution

The fourth proportional to 1,948.61, 2,920.48 and 974.99 is: 1,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.61 : 2,920.48 = 974.99 : x
  2. Step 2: Convert to fraction form
    1,948.61/2,920.48 = 974.99/x
  3. Step 3: Cross multiply
    1,948.61x = 2,920.48 × 974.99
  4. Step 4: Simplify right side
    1,948.61x = 2,847,438.80
  5. Step 5: Solve for x
    x = 2,847,438.80/1,948.61
  6. Step 6: Final answer
    x = 1,461.27

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.