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Finding the Fourth Proportional to 6,543.78, 9,002.49 and 5,783.76

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Solution

The fourth proportional to 6,543.78, 9,002.49 and 5,783.76 is: 7,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.78 : 9,002.49 = 5,783.76 : x
  2. Step 2: Convert to fraction form
    6,543.78/9,002.49 = 5,783.76/x
  3. Step 3: Cross multiply
    6,543.78x = 9,002.49 × 5,783.76
  4. Step 4: Simplify right side
    6,543.78x = 52,068,241.56
  5. Step 5: Solve for x
    x = 52,068,241.56/6,543.78
  6. Step 6: Final answer
    x = 7,956.91

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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.