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Finding the Fourth Proportional to 8,531.40, 12,785.10 and 6,779.40

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Solution

The fourth proportional to 8,531.40, 12,785.10 and 6,779.40 is: 10,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.40 : 12,785.10 = 6,779.40 : x
  2. Step 2: Convert to fraction form
    8,531.40/12,785.10 = 6,779.40/x
  3. Step 3: Cross multiply
    8,531.40x = 12,785.10 × 6,779.40
  4. Step 4: Simplify right side
    8,531.40x = 86,675,306.94
  5. Step 5: Solve for x
    x = 86,675,306.94/8,531.40
  6. Step 6: Final answer
    x = 10,159.56

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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.