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Finding the Fourth Proportional to 6,402.40, 9,614.40 and 4,220.80

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Solution

The fourth proportional to 6,402.40, 9,614.40 and 4,220.80 is: 6,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.40 : 9,614.40 = 4,220.80 : x
  2. Step 2: Convert to fraction form
    6,402.40/9,614.40 = 4,220.80/x
  3. Step 3: Cross multiply
    6,402.40x = 9,614.40 × 4,220.80
  4. Step 4: Simplify right side
    6,402.40x = 40,580,459.52
  5. Step 5: Solve for x
    x = 40,580,459.52/6,402.40
  6. Step 6: Final answer
    x = 6,338.32

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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.