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Finding the Fourth Proportional to 30,377.71, 41,921.18 and 16,948.16

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Solution

The fourth proportional to 30,377.71, 41,921.18 and 16,948.16 is: 23,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,377.71 : 41,921.18 = 16,948.16 : x
  2. Step 2: Convert to fraction form
    30,377.71/41,921.18 = 16,948.16/x
  3. Step 3: Cross multiply
    30,377.71x = 41,921.18 × 16,948.16
  4. Step 4: Simplify right side
    30,377.71x = 710,486,781.29
  5. Step 5: Solve for x
    x = 710,486,781.29/30,377.71
  6. Step 6: Final answer
    x = 23,388.43

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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.