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Finding the Fourth Proportional to 8,681.81, 12,956.13 and 7,747.47

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Solution

The fourth proportional to 8,681.81, 12,956.13 and 7,747.47 is: 11,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.81 : 12,956.13 = 7,747.47 : x
  2. Step 2: Convert to fraction form
    8,681.81/12,956.13 = 7,747.47/x
  3. Step 3: Cross multiply
    8,681.81x = 12,956.13 × 7,747.47
  4. Step 4: Simplify right side
    8,681.81x = 100,377,228.49
  5. Step 5: Solve for x
    x = 100,377,228.49/8,681.81
  6. Step 6: Final answer
    x = 11,561.79

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1.5x scale

Why These Related Problems?

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