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Finding the Fourth Proportional to 5,576.84, 8,363.49 and 1,878.20

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Solution

The fourth proportional to 5,576.84, 8,363.49 and 1,878.20 is: 2,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.84 : 8,363.49 = 1,878.20 : x
  2. Step 2: Convert to fraction form
    5,576.84/8,363.49 = 1,878.20/x
  3. Step 3: Cross multiply
    5,576.84x = 8,363.49 × 1,878.20
  4. Step 4: Simplify right side
    5,576.84x = 15,708,255.71
  5. Step 5: Solve for x
    x = 15,708,255.71/5,576.84
  6. Step 6: Final answer
    x = 2,816.70

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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.