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Finding the Fourth Proportional to 39,792, 59,681.04 and 13,138.32

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Solution

The fourth proportional to 39,792, 59,681.04 and 13,138.32 is: 19,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,792 : 59,681.04 = 13,138.32 : x
  2. Step 2: Convert to fraction form
    39,792/59,681.04 = 13,138.32/x
  3. Step 3: Cross multiply
    39,792x = 59,681.04 × 13,138.32
  4. Step 4: Simplify right side
    39,792x = 784,108,601.45
  5. Step 5: Solve for x
    x = 784,108,601.45/39,792
  6. Step 6: Final answer
    x = 19,705.18

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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.