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Finding the Fourth Proportional to 12,334.56, 18,506.47 and 7,407.74

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Solution

The fourth proportional to 12,334.56, 18,506.47 and 7,407.74 is: 11,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.56 : 18,506.47 = 7,407.74 : x
  2. Step 2: Convert to fraction form
    12,334.56/18,506.47 = 7,407.74/x
  3. Step 3: Cross multiply
    12,334.56x = 18,506.47 × 7,407.74
  4. Step 4: Simplify right side
    12,334.56x = 137,091,025.55
  5. Step 5: Solve for x
    x = 137,091,025.55/12,334.56
  6. Step 6: Final answer
    x = 11,114.38

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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.