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Finding the Fourth Proportional to 9,897.75, 13,658.18 and 5,420.78

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Solution

The fourth proportional to 9,897.75, 13,658.18 and 5,420.78 is: 7,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.75 : 13,658.18 = 5,420.78 : x
  2. Step 2: Convert to fraction form
    9,897.75/13,658.18 = 5,420.78/x
  3. Step 3: Cross multiply
    9,897.75x = 13,658.18 × 5,420.78
  4. Step 4: Simplify right side
    9,897.75x = 74,037,988.98
  5. Step 5: Solve for x
    x = 74,037,988.98/9,897.75
  6. Step 6: Final answer
    x = 7,480.28

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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.