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Finding the Fourth Proportional to 9,897.12, 13,658.22 and 5,918.40

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Solution

The fourth proportional to 9,897.12, 13,658.22 and 5,918.40 is: 8,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.12 : 13,658.22 = 5,918.40 : x
  2. Step 2: Convert to fraction form
    9,897.12/13,658.22 = 5,918.40/x
  3. Step 3: Cross multiply
    9,897.12x = 13,658.22 × 5,918.40
  4. Step 4: Simplify right side
    9,897.12x = 80,834,809.25
  5. Step 5: Solve for x
    x = 80,834,809.25/9,897.12
  6. Step 6: Final answer
    x = 8,167.51

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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.