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Finding the Fourth Proportional to 9,402.48, 12,966.48 and 7,160.40

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Solution

The fourth proportional to 9,402.48, 12,966.48 and 7,160.40 is: 9,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.48 : 12,966.48 = 7,160.40 : x
  2. Step 2: Convert to fraction form
    9,402.48/12,966.48 = 7,160.40/x
  3. Step 3: Cross multiply
    9,402.48x = 12,966.48 × 7,160.40
  4. Step 4: Simplify right side
    9,402.48x = 92,845,183.39
  5. Step 5: Solve for x
    x = 92,845,183.39/9,402.48
  6. Step 6: Final answer
    x = 9,874.54

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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.