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Finding the Fourth Proportional to 31,915.20, 47,875.20 and 8,541.12

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Solution

The fourth proportional to 31,915.20, 47,875.20 and 8,541.12 is: 12,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.20 : 47,875.20 = 8,541.12 : x
  2. Step 2: Convert to fraction form
    31,915.20/47,875.20 = 8,541.12/x
  3. Step 3: Cross multiply
    31,915.20x = 47,875.20 × 8,541.12
  4. Step 4: Simplify right side
    31,915.20x = 408,907,828.22
  5. Step 5: Solve for x
    x = 408,907,828.22/31,915.20
  6. Step 6: Final answer
    x = 12,812.32

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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.