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Finding the Fourth Proportional to 7,654.40, 11,468.64 and 7,084.16

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Solution

The fourth proportional to 7,654.40, 11,468.64 and 7,084.16 is: 10,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.40 : 11,468.64 = 7,084.16 : x
  2. Step 2: Convert to fraction form
    7,654.40/11,468.64 = 7,084.16/x
  3. Step 3: Cross multiply
    7,654.40x = 11,468.64 × 7,084.16
  4. Step 4: Simplify right side
    7,654.40x = 81,245,680.74
  5. Step 5: Solve for x
    x = 81,245,680.74/7,654.40
  6. Step 6: Final answer
    x = 10,614.25

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1.5x scale

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.