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Finding the Fourth Proportional to 8,378.10, 11,560.05 and 5,020.02

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Solution

The fourth proportional to 8,378.10, 11,560.05 and 5,020.02 is: 6,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.10 : 11,560.05 = 5,020.02 : x
  2. Step 2: Convert to fraction form
    8,378.10/11,560.05 = 5,020.02/x
  3. Step 3: Cross multiply
    8,378.10x = 11,560.05 × 5,020.02
  4. Step 4: Simplify right side
    8,378.10x = 58,031,682.20
  5. Step 5: Solve for x
    x = 58,031,682.20/8,378.10
  6. Step 6: Final answer
    x = 6,926.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.