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Finding the Fourth Proportional to 1,977.89, 2,966.85 and 591.10

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Solution

The fourth proportional to 1,977.89, 2,966.85 and 591.10 is: 886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.89 : 2,966.85 = 591.10 : x
  2. Step 2: Convert to fraction form
    1,977.89/2,966.85 = 591.10/x
  3. Step 3: Cross multiply
    1,977.89x = 2,966.85 × 591.10
  4. Step 4: Simplify right side
    1,977.89x = 1,753,699.28
  5. Step 5: Solve for x
    x = 1,753,699.28/1,977.89
  6. Step 6: Final answer
    x = 886.65

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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.