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Finding the Fourth Proportional to 38,425, 57,587.28 and 19,689.16

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Solution

The fourth proportional to 38,425, 57,587.28 and 19,689.16 is: 29,508.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,425 : 57,587.28 = 19,689.16 : x
  2. Step 2: Convert to fraction form
    38,425/57,587.28 = 19,689.16/x
  3. Step 3: Cross multiply
    38,425x = 57,587.28 × 19,689.16
  4. Step 4: Simplify right side
    38,425x = 1,133,845,169.88
  5. Step 5: Solve for x
    x = 1,133,845,169.88/38,425
  6. Step 6: Final answer
    x = 29,508.01

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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.