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Finding the Fourth Proportional to 5,616.50, 7,750.70 and 3,098.70

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Solution

The fourth proportional to 5,616.50, 7,750.70 and 3,098.70 is: 4,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.50 : 7,750.70 = 3,098.70 : x
  2. Step 2: Convert to fraction form
    5,616.50/7,750.70 = 3,098.70/x
  3. Step 3: Cross multiply
    5,616.50x = 7,750.70 × 3,098.70
  4. Step 4: Simplify right side
    5,616.50x = 24,017,094.09
  5. Step 5: Solve for x
    x = 24,017,094.09/5,616.50
  6. Step 6: Final answer
    x = 4,276.17

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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.