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Finding the Fourth Proportional to 7,880.53, 10,873.21 and 4,691.78

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Solution

The fourth proportional to 7,880.53, 10,873.21 and 4,691.78 is: 6,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.53 : 10,873.21 = 4,691.78 : x
  2. Step 2: Convert to fraction form
    7,880.53/10,873.21 = 4,691.78/x
  3. Step 3: Cross multiply
    7,880.53x = 10,873.21 × 4,691.78
  4. Step 4: Simplify right side
    7,880.53x = 51,014,631.39
  5. Step 5: Solve for x
    x = 51,014,631.39/7,880.53
  6. Step 6: Final answer
    x = 6,473.50

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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.