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Finding the Fourth Proportional to 11,398.10, 15,723.06 and 6,681.47

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Solution

The fourth proportional to 11,398.10, 15,723.06 and 6,681.47 is: 9,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.10 : 15,723.06 = 6,681.47 : x
  2. Step 2: Convert to fraction form
    11,398.10/15,723.06 = 6,681.47/x
  3. Step 3: Cross multiply
    11,398.10x = 15,723.06 × 6,681.47
  4. Step 4: Simplify right side
    11,398.10x = 105,053,153.70
  5. Step 5: Solve for x
    x = 105,053,153.70/11,398.10
  6. Step 6: Final answer
    x = 9,216.73

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1.5x scale

Why These Related Problems?

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