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Finding the Fourth Proportional to 10,000.47, 13,801.47 and 5,752.89

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Solution

The fourth proportional to 10,000.47, 13,801.47 and 5,752.89 is: 7,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.47 : 13,801.47 = 5,752.89 : x
  2. Step 2: Convert to fraction form
    10,000.47/13,801.47 = 5,752.89/x
  3. Step 3: Cross multiply
    10,000.47x = 13,801.47 × 5,752.89
  4. Step 4: Simplify right side
    10,000.47x = 79,398,338.75
  5. Step 5: Solve for x
    x = 79,398,338.75/10,000.47
  6. Step 6: Final answer
    x = 7,939.46

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1.5x scale

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.