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Finding the Fourth Proportional to 9,600.32, 14,400.80 and 3,444.80

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Solution

The fourth proportional to 9,600.32, 14,400.80 and 3,444.80 is: 5,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.32 : 14,400.80 = 3,444.80 : x
  2. Step 2: Convert to fraction form
    9,600.32/14,400.80 = 3,444.80/x
  3. Step 3: Cross multiply
    9,600.32x = 14,400.80 × 3,444.80
  4. Step 4: Simplify right side
    9,600.32x = 49,607,875.84
  5. Step 5: Solve for x
    x = 49,607,875.84/9,600.32
  6. Step 6: Final answer
    x = 5,167.31

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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.