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Finding the Fourth Proportional to 12,577.87, 18,875.94 and 10,142.11

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Solution

The fourth proportional to 12,577.87, 18,875.94 and 10,142.11 is: 15,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.87 : 18,875.94 = 10,142.11 : x
  2. Step 2: Convert to fraction form
    12,577.87/18,875.94 = 10,142.11/x
  3. Step 3: Cross multiply
    12,577.87x = 18,875.94 × 10,142.11
  4. Step 4: Simplify right side
    12,577.87x = 191,441,859.83
  5. Step 5: Solve for x
    x = 191,441,859.83/12,577.87
  6. Step 6: Final answer
    x = 15,220.53

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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.