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Finding the Fourth Proportional to 12,514.32, 17,254.08 and 8,030.16

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Solution

The fourth proportional to 12,514.32, 17,254.08 and 8,030.16 is: 11,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.32 : 17,254.08 = 8,030.16 : x
  2. Step 2: Convert to fraction form
    12,514.32/17,254.08 = 8,030.16/x
  3. Step 3: Cross multiply
    12,514.32x = 17,254.08 × 8,030.16
  4. Step 4: Simplify right side
    12,514.32x = 138,553,023.05
  5. Step 5: Solve for x
    x = 138,553,023.05/12,514.32
  6. Step 6: Final answer
    x = 11,071.56

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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.