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Finding the Fourth Proportional to 8,187.63, 12,281.71 and 6,407.05

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Solution

The fourth proportional to 8,187.63, 12,281.71 and 6,407.05 is: 9,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.63 : 12,281.71 = 6,407.05 : x
  2. Step 2: Convert to fraction form
    8,187.63/12,281.71 = 6,407.05/x
  3. Step 3: Cross multiply
    8,187.63x = 12,281.71 × 6,407.05
  4. Step 4: Simplify right side
    8,187.63x = 78,689,518.38
  5. Step 5: Solve for x
    x = 78,689,518.38/8,187.63
  6. Step 6: Final answer
    x = 9,610.78

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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.