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Finding the Fourth Proportional to 10,278.80, 15,421.80 and 3,705.20

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Solution

The fourth proportional to 10,278.80, 15,421.80 and 3,705.20 is: 5,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.80 : 15,421.80 = 3,705.20 : x
  2. Step 2: Convert to fraction form
    10,278.80/15,421.80 = 3,705.20/x
  3. Step 3: Cross multiply
    10,278.80x = 15,421.80 × 3,705.20
  4. Step 4: Simplify right side
    10,278.80x = 57,140,853.36
  5. Step 5: Solve for x
    x = 57,140,853.36/10,278.80
  6. Step 6: Final answer
    x = 5,559.10

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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.