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Finding the Fourth Proportional to 12,378.40, 18,551.40 and 10,985.20

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Solution

The fourth proportional to 12,378.40, 18,551.40 and 10,985.20 is: 16,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.40 : 18,551.40 = 10,985.20 : x
  2. Step 2: Convert to fraction form
    12,378.40/18,551.40 = 10,985.20/x
  3. Step 3: Cross multiply
    12,378.40x = 18,551.40 × 10,985.20
  4. Step 4: Simplify right side
    12,378.40x = 203,790,839.28
  5. Step 5: Solve for x
    x = 203,790,839.28/12,378.40
  6. Step 6: Final answer
    x = 16,463.42

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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.