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Finding the Fourth Proportional to 8,001.10, 11,931.64 and 7,564.38

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Solution

The fourth proportional to 8,001.10, 11,931.64 and 7,564.38 is: 11,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.10 : 11,931.64 = 7,564.38 : x
  2. Step 2: Convert to fraction form
    8,001.10/11,931.64 = 7,564.38/x
  3. Step 3: Cross multiply
    8,001.10x = 11,931.64 × 7,564.38
  4. Step 4: Simplify right side
    8,001.10x = 90,255,458.98
  5. Step 5: Solve for x
    x = 90,255,458.98/8,001.10
  6. Step 6: Final answer
    x = 11,280.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.