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Finding the Fourth Proportional to 10,000.38, 13,801.28 and 5,752.74

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Solution

The fourth proportional to 10,000.38, 13,801.28 and 5,752.74 is: 7,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.38 : 13,801.28 = 5,752.74 : x
  2. Step 2: Convert to fraction form
    10,000.38/13,801.28 = 5,752.74/x
  3. Step 3: Cross multiply
    10,000.38x = 13,801.28 × 5,752.74
  4. Step 4: Simplify right side
    10,000.38x = 79,395,175.51
  5. Step 5: Solve for x
    x = 79,395,175.51/10,000.38
  6. Step 6: Final answer
    x = 7,939.22

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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.