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Finding the Fourth Proportional to 6,490.84, 8,956.02 and 4,132.12

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Solution

The fourth proportional to 6,490.84, 8,956.02 and 4,132.12 is: 5,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.84 : 8,956.02 = 4,132.12 : x
  2. Step 2: Convert to fraction form
    6,490.84/8,956.02 = 4,132.12/x
  3. Step 3: Cross multiply
    6,490.84x = 8,956.02 × 4,132.12
  4. Step 4: Simplify right side
    6,490.84x = 37,007,349.36
  5. Step 5: Solve for x
    x = 37,007,349.36/6,490.84
  6. Step 6: Final answer
    x = 5,701.47

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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.