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Finding the Fourth Proportional to 6,114.40, 8,423.40 and 5,045.20

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Solution

The fourth proportional to 6,114.40, 8,423.40 and 5,045.20 is: 6,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.40 : 8,423.40 = 5,045.20 : x
  2. Step 2: Convert to fraction form
    6,114.40/8,423.40 = 5,045.20/x
  3. Step 3: Cross multiply
    6,114.40x = 8,423.40 × 5,045.20
  4. Step 4: Simplify right side
    6,114.40x = 42,497,737.68
  5. Step 5: Solve for x
    x = 42,497,737.68/6,114.40
  6. Step 6: Final answer
    x = 6,950.43

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Half scale
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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.