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Finding the Fourth Proportional to 7,002.60, 9,663.66 and 4,351.20

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Solution

The fourth proportional to 7,002.60, 9,663.66 and 4,351.20 is: 6,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.60 : 9,663.66 = 4,351.20 : x
  2. Step 2: Convert to fraction form
    7,002.60/9,663.66 = 4,351.20/x
  3. Step 3: Cross multiply
    7,002.60x = 9,663.66 × 4,351.20
  4. Step 4: Simplify right side
    7,002.60x = 42,048,517.39
  5. Step 5: Solve for x
    x = 42,048,517.39/7,002.60
  6. Step 6: Final answer
    x = 6,004.70

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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.