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Finding the Fourth Proportional to 10,543.80, 15,830.10 and 5,353.32

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Solution

The fourth proportional to 10,543.80, 15,830.10 and 5,353.32 is: 8,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.80 : 15,830.10 = 5,353.32 : x
  2. Step 2: Convert to fraction form
    10,543.80/15,830.10 = 5,353.32/x
  3. Step 3: Cross multiply
    10,543.80x = 15,830.10 × 5,353.32
  4. Step 4: Simplify right side
    10,543.80x = 84,743,590.93
  5. Step 5: Solve for x
    x = 84,743,590.93/10,543.80
  6. Step 6: Final answer
    x = 8,037.29

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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.