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Finding the Fourth Proportional to 16,319.16, 22,521 and 9,149.40

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Solution

The fourth proportional to 16,319.16, 22,521 and 9,149.40 is: 12,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,319.16 : 22,521 = 9,149.40 : x
  2. Step 2: Convert to fraction form
    16,319.16/22,521 = 9,149.40/x
  3. Step 3: Cross multiply
    16,319.16x = 22,521 × 9,149.40
  4. Step 4: Simplify right side
    16,319.16x = 206,053,637.40
  5. Step 5: Solve for x
    x = 206,053,637.40/16,319.16
  6. Step 6: Final answer
    x = 12,626.49

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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.