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Finding the Fourth Proportional to 47,388.71, 71,083.16 and 12,328.31

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Solution

The fourth proportional to 47,388.71, 71,083.16 and 12,328.31 is: 18,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,388.71 : 71,083.16 = 12,328.31 : x
  2. Step 2: Convert to fraction form
    47,388.71/71,083.16 = 12,328.31/x
  3. Step 3: Cross multiply
    47,388.71x = 71,083.16 × 12,328.31
  4. Step 4: Simplify right side
    47,388.71x = 876,335,232.26
  5. Step 5: Solve for x
    x = 876,335,232.26/47,388.71
  6. Step 6: Final answer
    x = 18,492.49

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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.