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Finding the Fourth Proportional to 8,731.32, 12,048.12 and 5,097.66

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Solution

The fourth proportional to 8,731.32, 12,048.12 and 5,097.66 is: 7,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.32 : 12,048.12 = 5,097.66 : x
  2. Step 2: Convert to fraction form
    8,731.32/12,048.12 = 5,097.66/x
  3. Step 3: Cross multiply
    8,731.32x = 12,048.12 × 5,097.66
  4. Step 4: Simplify right side
    8,731.32x = 61,417,219.40
  5. Step 5: Solve for x
    x = 61,417,219.40/8,731.32
  6. Step 6: Final answer
    x = 7,034.13

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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.