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Finding the Fourth Proportional to 28,138, 42,142.38 and 14,054.80

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Solution

The fourth proportional to 28,138, 42,142.38 and 14,054.80 is: 21,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138 : 42,142.38 = 14,054.80 : x
  2. Step 2: Convert to fraction form
    28,138/42,142.38 = 14,054.80/x
  3. Step 3: Cross multiply
    28,138x = 42,142.38 × 14,054.80
  4. Step 4: Simplify right side
    28,138x = 592,302,722.42
  5. Step 5: Solve for x
    x = 592,302,722.42/28,138
  6. Step 6: Final answer
    x = 21,049.92

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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.