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Finding the Fourth Proportional to 47,572.64, 71,353.56 and 12,515

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Solution

The fourth proportional to 47,572.64, 71,353.56 and 12,515 is: 18,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,572.64 : 71,353.56 = 12,515 : x
  2. Step 2: Convert to fraction form
    47,572.64/71,353.56 = 12,515/x
  3. Step 3: Cross multiply
    47,572.64x = 71,353.56 × 12,515
  4. Step 4: Simplify right side
    47,572.64x = 892,989,803.40
  5. Step 5: Solve for x
    x = 892,989,803.40/47,572.64
  6. Step 6: Final answer
    x = 18,771.08

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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.