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Finding the Fourth Proportional to 10,543.26, 15,885.16 and 9,543.81

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Solution

The fourth proportional to 10,543.26, 15,885.16 and 9,543.81 is: 14,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.26 : 15,885.16 = 9,543.81 : x
  2. Step 2: Convert to fraction form
    10,543.26/15,885.16 = 9,543.81/x
  3. Step 3: Cross multiply
    10,543.26x = 15,885.16 × 9,543.81
  4. Step 4: Simplify right side
    10,543.26x = 151,604,948.86
  5. Step 5: Solve for x
    x = 151,604,948.86/10,543.26
  6. Step 6: Final answer
    x = 14,379.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.