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Finding the Fourth Proportional to 9,402.60, 12,971 and 7,909.98

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Solution

The fourth proportional to 9,402.60, 12,971 and 7,909.98 is: 10,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.60 : 12,971 = 7,909.98 : x
  2. Step 2: Convert to fraction form
    9,402.60/12,971 = 7,909.98/x
  3. Step 3: Cross multiply
    9,402.60x = 12,971 × 7,909.98
  4. Step 4: Simplify right side
    9,402.60x = 102,600,350.58
  5. Step 5: Solve for x
    x = 102,600,350.58/9,402.60
  6. Step 6: Final answer
    x = 10,911.91

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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.