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Finding the Fourth Proportional to 7,470.54, 11,151.50 and 6,854.22

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Solution

The fourth proportional to 7,470.54, 11,151.50 and 6,854.22 is: 10,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.54 : 11,151.50 = 6,854.22 : x
  2. Step 2: Convert to fraction form
    7,470.54/11,151.50 = 6,854.22/x
  3. Step 3: Cross multiply
    7,470.54x = 11,151.50 × 6,854.22
  4. Step 4: Simplify right side
    7,470.54x = 76,434,800.06
  5. Step 5: Solve for x
    x = 76,434,800.06/7,470.54
  6. Step 6: Final answer
    x = 10,231.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.