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Finding the Fourth Proportional to 9,907, 13,677.36 and 7,402.88

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Solution

The fourth proportional to 9,907, 13,677.36 and 7,402.88 is: 10,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907 : 13,677.36 = 7,402.88 : x
  2. Step 2: Convert to fraction form
    9,907/13,677.36 = 7,402.88/x
  3. Step 3: Cross multiply
    9,907x = 13,677.36 × 7,402.88
  4. Step 4: Simplify right side
    9,907x = 101,251,854.80
  5. Step 5: Solve for x
    x = 101,251,854.80/9,907
  6. Step 6: Final answer
    x = 10,220.23

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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.