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Finding the Fourth Proportional to 13,082.66, 18,054.42 and 7,114.74

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Solution

The fourth proportional to 13,082.66, 18,054.42 and 7,114.74 is: 9,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.66 : 18,054.42 = 7,114.74 : x
  2. Step 2: Convert to fraction form
    13,082.66/18,054.42 = 7,114.74/x
  3. Step 3: Cross multiply
    13,082.66x = 18,054.42 × 7,114.74
  4. Step 4: Simplify right side
    13,082.66x = 128,452,504.15
  5. Step 5: Solve for x
    x = 128,452,504.15/13,082.66
  6. Step 6: Final answer
    x = 9,818.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.