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Finding the Fourth Proportional to 9,160.50, 12,648.78 and 7,167.72

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Solution

The fourth proportional to 9,160.50, 12,648.78 and 7,167.72 is: 9,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.50 : 12,648.78 = 7,167.72 : x
  2. Step 2: Convert to fraction form
    9,160.50/12,648.78 = 7,167.72/x
  3. Step 3: Cross multiply
    9,160.50x = 12,648.78 × 7,167.72
  4. Step 4: Simplify right side
    9,160.50x = 90,662,913.38
  5. Step 5: Solve for x
    x = 90,662,913.38/9,160.50
  6. Step 6: Final answer
    x = 9,897.16

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Half scale
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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.