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Finding the Fourth Proportional to 7,470.70, 11,206.05 and 6,304.30

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Solution

The fourth proportional to 7,470.70, 11,206.05 and 6,304.30 is: 9,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.70 : 11,206.05 = 6,304.30 : x
  2. Step 2: Convert to fraction form
    7,470.70/11,206.05 = 6,304.30/x
  3. Step 3: Cross multiply
    7,470.70x = 11,206.05 × 6,304.30
  4. Step 4: Simplify right side
    7,470.70x = 70,646,301.02
  5. Step 5: Solve for x
    x = 70,646,301.02/7,470.70
  6. Step 6: Final answer
    x = 9,456.45

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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.