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Finding the Fourth Proportional to 1,411.70, 1,948.10 and 782.21

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Solution

The fourth proportional to 1,411.70, 1,948.10 and 782.21 is: 1,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.70 : 1,948.10 = 782.21 : x
  2. Step 2: Convert to fraction form
    1,411.70/1,948.10 = 782.21/x
  3. Step 3: Cross multiply
    1,411.70x = 1,948.10 × 782.21
  4. Step 4: Simplify right side
    1,411.70x = 1,523,823.30
  5. Step 5: Solve for x
    x = 1,523,823.30/1,411.70
  6. Step 6: Final answer
    x = 1,079.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.