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Finding the Fourth Proportional to 12,764.16, 17,614.08 and 9,043.20

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Solution

The fourth proportional to 12,764.16, 17,614.08 and 9,043.20 is: 12,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.16 : 17,614.08 = 9,043.20 : x
  2. Step 2: Convert to fraction form
    12,764.16/17,614.08 = 9,043.20/x
  3. Step 3: Cross multiply
    12,764.16x = 17,614.08 × 9,043.20
  4. Step 4: Simplify right side
    12,764.16x = 159,287,648.26
  5. Step 5: Solve for x
    x = 159,287,648.26/12,764.16
  6. Step 6: Final answer
    x = 12,479.29

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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.