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Finding the Fourth Proportional to 28,677, 43,017.12 and 10,209

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Solution

The fourth proportional to 28,677, 43,017.12 and 10,209 is: 15,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,677 : 43,017.12 = 10,209 : x
  2. Step 2: Convert to fraction form
    28,677/43,017.12 = 10,209/x
  3. Step 3: Cross multiply
    28,677x = 43,017.12 × 10,209
  4. Step 4: Simplify right side
    28,677x = 439,161,778.08
  5. Step 5: Solve for x
    x = 439,161,778.08/28,677
  6. Step 6: Final answer
    x = 15,314.08

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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.