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Finding the Fourth Proportional to 10,570.80, 15,848.20 and 5,380.40

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Solution

The fourth proportional to 10,570.80, 15,848.20 and 5,380.40 is: 8,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.80 : 15,848.20 = 5,380.40 : x
  2. Step 2: Convert to fraction form
    10,570.80/15,848.20 = 5,380.40/x
  3. Step 3: Cross multiply
    10,570.80x = 15,848.20 × 5,380.40
  4. Step 4: Simplify right side
    10,570.80x = 85,269,655.28
  5. Step 5: Solve for x
    x = 85,269,655.28/10,570.80
  6. Step 6: Final answer
    x = 8,066.53

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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.