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Finding the Fourth Proportional to 9,897.87, 13,658.53 and 5,420.78

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Solution

The fourth proportional to 9,897.87, 13,658.53 and 5,420.78 is: 7,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.87 : 13,658.53 = 5,420.78 : x
  2. Step 2: Convert to fraction form
    9,897.87/13,658.53 = 5,420.78/x
  3. Step 3: Cross multiply
    9,897.87x = 13,658.53 × 5,420.78
  4. Step 4: Simplify right side
    9,897.87x = 74,039,790.86
  5. Step 5: Solve for x
    x = 74,039,790.86/9,897.87
  6. Step 6: Final answer
    x = 7,480.38

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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.