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Finding the Fourth Proportional to 9,897.88, 13,658.94 and 5,421.56

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Solution

The fourth proportional to 9,897.88, 13,658.94 and 5,421.56 is: 7,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.88 : 13,658.94 = 5,421.56 : x
  2. Step 2: Convert to fraction form
    9,897.88/13,658.94 = 5,421.56/x
  3. Step 3: Cross multiply
    9,897.88x = 13,658.94 × 5,421.56
  4. Step 4: Simplify right side
    9,897.88x = 74,052,762.75
  5. Step 5: Solve for x
    x = 74,052,762.75/9,897.88
  6. Step 6: Final answer
    x = 7,481.68

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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.