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Finding the Fourth Proportional to 10,019.20, 15,028.80 and 5,411.20

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Solution

The fourth proportional to 10,019.20, 15,028.80 and 5,411.20 is: 8,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.20 : 15,028.80 = 5,411.20 : x
  2. Step 2: Convert to fraction form
    10,019.20/15,028.80 = 5,411.20/x
  3. Step 3: Cross multiply
    10,019.20x = 15,028.80 × 5,411.20
  4. Step 4: Simplify right side
    10,019.20x = 81,323,842.56
  5. Step 5: Solve for x
    x = 81,323,842.56/10,019.20
  6. Step 6: Final answer
    x = 8,116.80

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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.