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Finding the Fourth Proportional to 24,142.40, 36,214.72 and 12,478.40

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Solution

The fourth proportional to 24,142.40, 36,214.72 and 12,478.40 is: 18,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.40 : 36,214.72 = 12,478.40 : x
  2. Step 2: Convert to fraction form
    24,142.40/36,214.72 = 12,478.40/x
  3. Step 3: Cross multiply
    24,142.40x = 36,214.72 × 12,478.40
  4. Step 4: Simplify right side
    24,142.40x = 451,901,762.05
  5. Step 5: Solve for x
    x = 451,901,762.05/24,142.40
  6. Step 6: Final answer
    x = 18,718.18

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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.