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Finding the Fourth Proportional to 2,591.66, 3,885.14 and 947.04

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Solution

The fourth proportional to 2,591.66, 3,885.14 and 947.04 is: 1,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.66 : 3,885.14 = 947.04 : x
  2. Step 2: Convert to fraction form
    2,591.66/3,885.14 = 947.04/x
  3. Step 3: Cross multiply
    2,591.66x = 3,885.14 × 947.04
  4. Step 4: Simplify right side
    2,591.66x = 3,679,382.99
  5. Step 5: Solve for x
    x = 3,679,382.99/2,591.66
  6. Step 6: Final answer
    x = 1,419.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.