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Finding the Fourth Proportional to 5,761.40, 8,642.90 and 1,864.49

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Solution

The fourth proportional to 5,761.40, 8,642.90 and 1,864.49 is: 2,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.40 : 8,642.90 = 1,864.49 : x
  2. Step 2: Convert to fraction form
    5,761.40/8,642.90 = 1,864.49/x
  3. Step 3: Cross multiply
    5,761.40x = 8,642.90 × 1,864.49
  4. Step 4: Simplify right side
    5,761.40x = 16,114,562.07
  5. Step 5: Solve for x
    x = 16,114,562.07/5,761.40
  6. Step 6: Final answer
    x = 2,796.99

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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.