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Finding the Fourth Proportional to 7,971.60, 11,002.08 and 5,740.92

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Solution

The fourth proportional to 7,971.60, 11,002.08 and 5,740.92 is: 7,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.60 : 11,002.08 = 5,740.92 : x
  2. Step 2: Convert to fraction form
    7,971.60/11,002.08 = 5,740.92/x
  3. Step 3: Cross multiply
    7,971.60x = 11,002.08 × 5,740.92
  4. Step 4: Simplify right side
    7,971.60x = 63,162,061.11
  5. Step 5: Solve for x
    x = 63,162,061.11/7,971.60
  6. Step 6: Final answer
    x = 7,923.39

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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.