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Finding the Fourth Proportional to 12,458.64, 17,191.16 and 7,741.20

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Solution

The fourth proportional to 12,458.64, 17,191.16 and 7,741.20 is: 10,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.64 : 17,191.16 = 7,741.20 : x
  2. Step 2: Convert to fraction form
    12,458.64/17,191.16 = 7,741.20/x
  3. Step 3: Cross multiply
    12,458.64x = 17,191.16 × 7,741.20
  4. Step 4: Simplify right side
    12,458.64x = 133,080,207.79
  5. Step 5: Solve for x
    x = 133,080,207.79/12,458.64
  6. Step 6: Final answer
    x = 10,681.76

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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.