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Finding the Fourth Proportional to 11,543.78, 15,930.24 and 6,508.01

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Solution

The fourth proportional to 11,543.78, 15,930.24 and 6,508.01 is: 8,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.78 : 15,930.24 = 6,508.01 : x
  2. Step 2: Convert to fraction form
    11,543.78/15,930.24 = 6,508.01/x
  3. Step 3: Cross multiply
    11,543.78x = 15,930.24 × 6,508.01
  4. Step 4: Simplify right side
    11,543.78x = 103,674,176.64
  5. Step 5: Solve for x
    x = 103,674,176.64/11,543.78
  6. Step 6: Final answer
    x = 8,980.95

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