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Finding the Fourth Proportional to 28,510.88, 42,766.47 and 7,734.38

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Solution

The fourth proportional to 28,510.88, 42,766.47 and 7,734.38 is: 11,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,510.88 : 42,766.47 = 7,734.38 : x
  2. Step 2: Convert to fraction form
    28,510.88/42,766.47 = 7,734.38/x
  3. Step 3: Cross multiply
    28,510.88x = 42,766.47 × 7,734.38
  4. Step 4: Simplify right side
    28,510.88x = 330,771,916.41
  5. Step 5: Solve for x
    x = 330,771,916.41/28,510.88
  6. Step 6: Final answer
    x = 11,601.61

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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.