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Finding the Fourth Proportional to 8,497.71, 11,728.40 and 6,631.47

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Solution

The fourth proportional to 8,497.71, 11,728.40 and 6,631.47 is: 9,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.71 : 11,728.40 = 6,631.47 : x
  2. Step 2: Convert to fraction form
    8,497.71/11,728.40 = 6,631.47/x
  3. Step 3: Cross multiply
    8,497.71x = 11,728.40 × 6,631.47
  4. Step 4: Simplify right side
    8,497.71x = 77,776,499.59
  5. Step 5: Solve for x
    x = 77,776,499.59/8,497.71
  6. Step 6: Final answer
    x = 9,152.64

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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.