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Finding the Fourth Proportional to 9,897.64, 13,658.63 and 5,421.13

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Solution

The fourth proportional to 9,897.64, 13,658.63 and 5,421.13 is: 7,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.64 : 13,658.63 = 5,421.13 : x
  2. Step 2: Convert to fraction form
    9,897.64/13,658.63 = 5,421.13/x
  3. Step 3: Cross multiply
    9,897.64x = 13,658.63 × 5,421.13
  4. Step 4: Simplify right side
    9,897.64x = 74,045,147.60
  5. Step 5: Solve for x
    x = 74,045,147.60/9,897.64
  6. Step 6: Final answer
    x = 7,481.09

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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.