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Finding the Fourth Proportional to 28,146, 42,231.16 and 14,994.64

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Solution

The fourth proportional to 28,146, 42,231.16 and 14,994.64 is: 22,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,146 : 42,231.16 = 14,994.64 : x
  2. Step 2: Convert to fraction form
    28,146/42,231.16 = 14,994.64/x
  3. Step 3: Cross multiply
    28,146x = 42,231.16 × 14,994.64
  4. Step 4: Simplify right side
    28,146x = 633,241,040.98
  5. Step 5: Solve for x
    x = 633,241,040.98/28,146
  6. Step 6: Final answer
    x = 22,498.44

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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.