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Finding the Fourth Proportional to 5,312.70, 7,969.86 and 1,614.78

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Solution

The fourth proportional to 5,312.70, 7,969.86 and 1,614.78 is: 2,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.70 : 7,969.86 = 1,614.78 : x
  2. Step 2: Convert to fraction form
    5,312.70/7,969.86 = 1,614.78/x
  3. Step 3: Cross multiply
    5,312.70x = 7,969.86 × 1,614.78
  4. Step 4: Simplify right side
    5,312.70x = 12,869,570.53
  5. Step 5: Solve for x
    x = 12,869,570.53/5,312.70
  6. Step 6: Final answer
    x = 2,422.42

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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.