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Finding the Fourth Proportional to 12,242.57, 18,364.05 and 6,410.57

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Solution

The fourth proportional to 12,242.57, 18,364.05 and 6,410.57 is: 9,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.57 : 18,364.05 = 6,410.57 : x
  2. Step 2: Convert to fraction form
    12,242.57/18,364.05 = 6,410.57/x
  3. Step 3: Cross multiply
    12,242.57x = 18,364.05 × 6,410.57
  4. Step 4: Simplify right side
    12,242.57x = 117,723,936.19
  5. Step 5: Solve for x
    x = 117,723,936.19/12,242.57
  6. Step 6: Final answer
    x = 9,615.95

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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.