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Finding the Fourth Proportional to 7,609.80, 11,414.70 and 4,985.40

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Solution

The fourth proportional to 7,609.80, 11,414.70 and 4,985.40 is: 7,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.80 : 11,414.70 = 4,985.40 : x
  2. Step 2: Convert to fraction form
    7,609.80/11,414.70 = 4,985.40/x
  3. Step 3: Cross multiply
    7,609.80x = 11,414.70 × 4,985.40
  4. Step 4: Simplify right side
    7,609.80x = 56,906,845.38
  5. Step 5: Solve for x
    x = 56,906,845.38/7,609.80
  6. Step 6: Final answer
    x = 7,478.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.