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Finding the Fourth Proportional to 10,272.80, 15,412.80 and 4,431.20

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Solution

The fourth proportional to 10,272.80, 15,412.80 and 4,431.20 is: 6,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.80 : 15,412.80 = 4,431.20 : x
  2. Step 2: Convert to fraction form
    10,272.80/15,412.80 = 4,431.20/x
  3. Step 3: Cross multiply
    10,272.80x = 15,412.80 × 4,431.20
  4. Step 4: Simplify right side
    10,272.80x = 68,297,199.36
  5. Step 5: Solve for x
    x = 68,297,199.36/10,272.80
  6. Step 6: Final answer
    x = 6,648.35

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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.