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Finding the Fourth Proportional to 30,712, 42,382.72 and 17,283.48

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Solution

The fourth proportional to 30,712, 42,382.72 and 17,283.48 is: 23,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712 : 42,382.72 = 17,283.48 : x
  2. Step 2: Convert to fraction form
    30,712/42,382.72 = 17,283.48/x
  3. Step 3: Cross multiply
    30,712x = 42,382.72 × 17,283.48
  4. Step 4: Simplify right side
    30,712x = 732,520,893.47
  5. Step 5: Solve for x
    x = 732,520,893.47/30,712
  6. Step 6: Final answer
    x = 23,851.29

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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.