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Finding the Fourth Proportional to 8,527.42, 12,810.57 and 8,177.50

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Solution

The fourth proportional to 8,527.42, 12,810.57 and 8,177.50 is: 12,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.42 : 12,810.57 = 8,177.50 : x
  2. Step 2: Convert to fraction form
    8,527.42/12,810.57 = 8,177.50/x
  3. Step 3: Cross multiply
    8,527.42x = 12,810.57 × 8,177.50
  4. Step 4: Simplify right side
    8,527.42x = 104,758,436.18
  5. Step 5: Solve for x
    x = 104,758,436.18/8,527.42
  6. Step 6: Final answer
    x = 12,284.89

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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.