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Finding the Fourth Proportional to 7,164.48, 9,891.36 and 5,678.40

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Solution

The fourth proportional to 7,164.48, 9,891.36 and 5,678.40 is: 7,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.48 : 9,891.36 = 5,678.40 : x
  2. Step 2: Convert to fraction form
    7,164.48/9,891.36 = 5,678.40/x
  3. Step 3: Cross multiply
    7,164.48x = 9,891.36 × 5,678.40
  4. Step 4: Simplify right side
    7,164.48x = 56,167,098.62
  5. Step 5: Solve for x
    x = 56,167,098.62/7,164.48
  6. Step 6: Final answer
    x = 7,839.66

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Double scale
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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.