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Finding the Fourth Proportional to 28,596.71, 42,900.78 and 9,877.43

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Solution

The fourth proportional to 28,596.71, 42,900.78 and 9,877.43 is: 14,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596.71 : 42,900.78 = 9,877.43 : x
  2. Step 2: Convert to fraction form
    28,596.71/42,900.78 = 9,877.43/x
  3. Step 3: Cross multiply
    28,596.71x = 42,900.78 × 9,877.43
  4. Step 4: Simplify right side
    28,596.71x = 423,749,236.89
  5. Step 5: Solve for x
    x = 423,749,236.89/28,596.71
  6. Step 6: Final answer
    x = 14,818.11

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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.