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Finding the Fourth Proportional to 6,432.60, 9,640.80 and 5,703.60

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Solution

The fourth proportional to 6,432.60, 9,640.80 and 5,703.60 is: 8,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.60 : 9,640.80 = 5,703.60 : x
  2. Step 2: Convert to fraction form
    6,432.60/9,640.80 = 5,703.60/x
  3. Step 3: Cross multiply
    6,432.60x = 9,640.80 × 5,703.60
  4. Step 4: Simplify right side
    6,432.60x = 54,987,266.88
  5. Step 5: Solve for x
    x = 54,987,266.88/6,432.60
  6. Step 6: Final answer
    x = 8,548.22

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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.