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Finding the Fourth Proportional to 9,897.85, 13,658.58 and 5,921.14

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Solution

The fourth proportional to 9,897.85, 13,658.58 and 5,921.14 is: 8,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.85 : 13,658.58 = 5,921.14 : x
  2. Step 2: Convert to fraction form
    9,897.85/13,658.58 = 5,921.14/x
  3. Step 3: Cross multiply
    9,897.85x = 13,658.58 × 5,921.14
  4. Step 4: Simplify right side
    9,897.85x = 80,874,364.38
  5. Step 5: Solve for x
    x = 80,874,364.38/9,897.85
  6. Step 6: Final answer
    x = 8,170.90

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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.