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Finding the Fourth Proportional to 8,507.70, 11,712.87 and 6,711.93

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Solution

The fourth proportional to 8,507.70, 11,712.87 and 6,711.93 is: 9,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.70 : 11,712.87 = 6,711.93 : x
  2. Step 2: Convert to fraction form
    8,507.70/11,712.87 = 6,711.93/x
  3. Step 3: Cross multiply
    8,507.70x = 11,712.87 × 6,711.93
  4. Step 4: Simplify right side
    8,507.70x = 78,615,963.54
  5. Step 5: Solve for x
    x = 78,615,963.54/8,507.70
  6. Step 6: Final answer
    x = 9,240.57

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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.