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Finding the Fourth Proportional to 8,681.56, 13,008.68 and 6,712

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Solution

The fourth proportional to 8,681.56, 13,008.68 and 6,712 is: 10,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.56 : 13,008.68 = 6,712 : x
  2. Step 2: Convert to fraction form
    8,681.56/13,008.68 = 6,712/x
  3. Step 3: Cross multiply
    8,681.56x = 13,008.68 × 6,712
  4. Step 4: Simplify right side
    8,681.56x = 87,314,260.16
  5. Step 5: Solve for x
    x = 87,314,260.16/8,681.56
  6. Step 6: Final answer
    x = 10,057.44

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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.