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Finding the Fourth Proportional to 7,811.53, 10,780.05 and 5,577.20

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Solution

The fourth proportional to 7,811.53, 10,780.05 and 5,577.20 is: 7,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.53 : 10,780.05 = 5,577.20 : x
  2. Step 2: Convert to fraction form
    7,811.53/10,780.05 = 5,577.20/x
  3. Step 3: Cross multiply
    7,811.53x = 10,780.05 × 5,577.20
  4. Step 4: Simplify right side
    7,811.53x = 60,122,531.57
  5. Step 5: Solve for x
    x = 60,122,531.57/7,811.53
  6. Step 6: Final answer
    x = 7,696.64

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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.