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Finding the Fourth Proportional to 8,436.25, 12,681.70 and 7,827.54

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Solution

The fourth proportional to 8,436.25, 12,681.70 and 7,827.54 is: 11,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.25 : 12,681.70 = 7,827.54 : x
  2. Step 2: Convert to fraction form
    8,436.25/12,681.70 = 7,827.54/x
  3. Step 3: Cross multiply
    8,436.25x = 12,681.70 × 7,827.54
  4. Step 4: Simplify right side
    8,436.25x = 99,266,446.89
  5. Step 5: Solve for x
    x = 99,266,446.89/8,436.25
  6. Step 6: Final answer
    x = 11,766.65

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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.