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Finding the Fourth Proportional to 31,765.72, 47,640.88 and 10,700.32

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Solution

The fourth proportional to 31,765.72, 47,640.88 and 10,700.32 is: 16,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765.72 : 47,640.88 = 10,700.32 : x
  2. Step 2: Convert to fraction form
    31,765.72/47,640.88 = 10,700.32/x
  3. Step 3: Cross multiply
    31,765.72x = 47,640.88 × 10,700.32
  4. Step 4: Simplify right side
    31,765.72x = 509,772,661.08
  5. Step 5: Solve for x
    x = 509,772,661.08/31,765.72
  6. Step 6: Final answer
    x = 16,047.89

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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.