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Finding the Fourth Proportional to 8,742.70, 12,060.19 and 5,205.23

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Solution

The fourth proportional to 8,742.70, 12,060.19 and 5,205.23 is: 7,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.70 : 12,060.19 = 5,205.23 : x
  2. Step 2: Convert to fraction form
    8,742.70/12,060.19 = 5,205.23/x
  3. Step 3: Cross multiply
    8,742.70x = 12,060.19 × 5,205.23
  4. Step 4: Simplify right side
    8,742.70x = 62,776,062.79
  5. Step 5: Solve for x
    x = 62,776,062.79/8,742.70
  6. Step 6: Final answer
    x = 7,180.40

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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.