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Finding the Fourth Proportional to 12,169.52, 18,259.80 and 5,151.44

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Solution

The fourth proportional to 12,169.52, 18,259.80 and 5,151.44 is: 7,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.52 : 18,259.80 = 5,151.44 : x
  2. Step 2: Convert to fraction form
    12,169.52/18,259.80 = 5,151.44/x
  3. Step 3: Cross multiply
    12,169.52x = 18,259.80 × 5,151.44
  4. Step 4: Simplify right side
    12,169.52x = 94,064,264.11
  5. Step 5: Solve for x
    x = 94,064,264.11/12,169.52
  6. Step 6: Final answer
    x = 7,729.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.