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Finding the Fourth Proportional to 7,470.80, 11,205.88 and 2,540.40

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Solution

The fourth proportional to 7,470.80, 11,205.88 and 2,540.40 is: 3,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.80 : 11,205.88 = 2,540.40 : x
  2. Step 2: Convert to fraction form
    7,470.80/11,205.88 = 2,540.40/x
  3. Step 3: Cross multiply
    7,470.80x = 11,205.88 × 2,540.40
  4. Step 4: Simplify right side
    7,470.80x = 28,467,417.55
  5. Step 5: Solve for x
    x = 28,467,417.55/7,470.80
  6. Step 6: Final answer
    x = 3,810.49

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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.