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Finding the Fourth Proportional to 30,714.66, 42,404.31 and 28,943.19

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Solution

The fourth proportional to 30,714.66, 42,404.31 and 28,943.19 is: 39,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.66 : 42,404.31 = 28,943.19 : x
  2. Step 2: Convert to fraction form
    30,714.66/42,404.31 = 28,943.19/x
  3. Step 3: Cross multiply
    30,714.66x = 42,404.31 × 28,943.19
  4. Step 4: Simplify right side
    30,714.66x = 1,227,316,001.15
  5. Step 5: Solve for x
    x = 1,227,316,001.15/30,714.66
  6. Step 6: Final answer
    x = 39,958.64

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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.