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Finding the Fourth Proportional to 47,869.13, 71,803.69 and 12,807.87

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Solution

The fourth proportional to 47,869.13, 71,803.69 and 12,807.87 is: 19,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,869.13 : 71,803.69 = 12,807.87 : x
  2. Step 2: Convert to fraction form
    47,869.13/71,803.69 = 12,807.87/x
  3. Step 3: Cross multiply
    47,869.13x = 71,803.69 × 12,807.87
  4. Step 4: Simplify right side
    47,869.13x = 919,652,327.04
  5. Step 5: Solve for x
    x = 919,652,327.04/47,869.13
  6. Step 6: Final answer
    x = 19,211.80

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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.