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Finding the Fourth Proportional to 12,026.40, 16,596.96 and 6,721.20

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Solution

The fourth proportional to 12,026.40, 16,596.96 and 6,721.20 is: 9,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.40 : 16,596.96 = 6,721.20 : x
  2. Step 2: Convert to fraction form
    12,026.40/16,596.96 = 6,721.20/x
  3. Step 3: Cross multiply
    12,026.40x = 16,596.96 × 6,721.20
  4. Step 4: Simplify right side
    12,026.40x = 111,551,487.55
  5. Step 5: Solve for x
    x = 111,551,487.55/12,026.40
  6. Step 6: Final answer
    x = 9,275.55

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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.