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Finding the Fourth Proportional to 5,143.59, 7,678.16 and 4,520.84

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Solution

The fourth proportional to 5,143.59, 7,678.16 and 4,520.84 is: 6,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.59 : 7,678.16 = 4,520.84 : x
  2. Step 2: Convert to fraction form
    5,143.59/7,678.16 = 4,520.84/x
  3. Step 3: Cross multiply
    5,143.59x = 7,678.16 × 4,520.84
  4. Step 4: Simplify right side
    5,143.59x = 34,711,671.86
  5. Step 5: Solve for x
    x = 34,711,671.86/5,143.59
  6. Step 6: Final answer
    x = 6,748.53

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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.