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Finding the Fourth Proportional to 31,800.72, 47,703.28 and 15,157.92

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Solution

The fourth proportional to 31,800.72, 47,703.28 and 15,157.92 is: 22,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.72 : 47,703.28 = 15,157.92 : x
  2. Step 2: Convert to fraction form
    31,800.72/47,703.28 = 15,157.92/x
  3. Step 3: Cross multiply
    31,800.72x = 47,703.28 × 15,157.92
  4. Step 4: Simplify right side
    31,800.72x = 723,082,501.98
  5. Step 5: Solve for x
    x = 723,082,501.98/31,800.72
  6. Step 6: Final answer
    x = 22,737.93

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1.5x scale

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.