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Finding the Fourth Proportional to 12,583.76, 18,862.88 and 8,140.50

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Solution

The fourth proportional to 12,583.76, 18,862.88 and 8,140.50 is: 12,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.76 : 18,862.88 = 8,140.50 : x
  2. Step 2: Convert to fraction form
    12,583.76/18,862.88 = 8,140.50/x
  3. Step 3: Cross multiply
    12,583.76x = 18,862.88 × 8,140.50
  4. Step 4: Simplify right side
    12,583.76x = 153,553,233.94
  5. Step 5: Solve for x
    x = 153,553,233.94/12,583.76
  6. Step 6: Final answer
    x = 12,202.50

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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.