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Finding the Fourth Proportional to 47,565.52, 65,640.90 and 28,699

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Solution

The fourth proportional to 47,565.52, 65,640.90 and 28,699 is: 39,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,565.52 : 65,640.90 = 28,699 : x
  2. Step 2: Convert to fraction form
    47,565.52/65,640.90 = 28,699/x
  3. Step 3: Cross multiply
    47,565.52x = 65,640.90 × 28,699
  4. Step 4: Simplify right side
    47,565.52x = 1,883,828,189.10
  5. Step 5: Solve for x
    x = 1,883,828,189.10/47,565.52
  6. Step 6: Final answer
    x = 39,604.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.