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Finding the Fourth Proportional to 14,802.39, 20,415.78 and 8,832.78

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Solution

The fourth proportional to 14,802.39, 20,415.78 and 8,832.78 is: 12,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.39 : 20,415.78 = 8,832.78 : x
  2. Step 2: Convert to fraction form
    14,802.39/20,415.78 = 8,832.78/x
  3. Step 3: Cross multiply
    14,802.39x = 20,415.78 × 8,832.78
  4. Step 4: Simplify right side
    14,802.39x = 180,328,093.27
  5. Step 5: Solve for x
    x = 180,328,093.27/14,802.39
  6. Step 6: Final answer
    x = 12,182.36

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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.