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Finding the Fourth Proportional to 9,182.53, 12,671.99 and 4,990.78

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Solution

The fourth proportional to 9,182.53, 12,671.99 and 4,990.78 is: 6,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.53 : 12,671.99 = 4,990.78 : x
  2. Step 2: Convert to fraction form
    9,182.53/12,671.99 = 4,990.78/x
  3. Step 3: Cross multiply
    9,182.53x = 12,671.99 × 4,990.78
  4. Step 4: Simplify right side
    9,182.53x = 63,243,151.93
  5. Step 5: Solve for x
    x = 63,243,151.93/9,182.53
  6. Step 6: Final answer
    x = 6,887.33

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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.