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Finding the Fourth Proportional to 8,510.70, 12,729.60 and 6,542.40

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Solution

The fourth proportional to 8,510.70, 12,729.60 and 6,542.40 is: 9,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.70 : 12,729.60 = 6,542.40 : x
  2. Step 2: Convert to fraction form
    8,510.70/12,729.60 = 6,542.40/x
  3. Step 3: Cross multiply
    8,510.70x = 12,729.60 × 6,542.40
  4. Step 4: Simplify right side
    8,510.70x = 83,282,135.04
  5. Step 5: Solve for x
    x = 83,282,135.04/8,510.70
  6. Step 6: Final answer
    x = 9,785.58

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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.