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Finding the Fourth Proportional to 9,897.04, 13,658.14 and 5,421

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Solution

The fourth proportional to 9,897.04, 13,658.14 and 5,421 is: 7,481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.04 : 13,658.14 = 5,421 : x
  2. Step 2: Convert to fraction form
    9,897.04/13,658.14 = 5,421/x
  3. Step 3: Cross multiply
    9,897.04x = 13,658.14 × 5,421
  4. Step 4: Simplify right side
    9,897.04x = 74,040,776.94
  5. Step 5: Solve for x
    x = 74,040,776.94/9,897.04
  6. Step 6: Final answer
    x = 7,481.10

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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.