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Finding the Fourth Proportional to 1,948.77, 2,920.72 and 975.15

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Solution

The fourth proportional to 1,948.77, 2,920.72 and 975.15 is: 1,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.77 : 2,920.72 = 975.15 : x
  2. Step 2: Convert to fraction form
    1,948.77/2,920.72 = 975.15/x
  3. Step 3: Cross multiply
    1,948.77x = 2,920.72 × 975.15
  4. Step 4: Simplify right side
    1,948.77x = 2,848,140.11
  5. Step 5: Solve for x
    x = 2,848,140.11/1,948.77
  6. Step 6: Final answer
    x = 1,461.51

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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.