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Finding the Fourth Proportional to 28,237.50, 42,375.69 and 9,769.50

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Solution

The fourth proportional to 28,237.50, 42,375.69 and 9,769.50 is: 14,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,237.50 : 42,375.69 = 9,769.50 : x
  2. Step 2: Convert to fraction form
    28,237.50/42,375.69 = 9,769.50/x
  3. Step 3: Cross multiply
    28,237.50x = 42,375.69 × 9,769.50
  4. Step 4: Simplify right side
    28,237.50x = 413,989,303.46
  5. Step 5: Solve for x
    x = 413,989,303.46/28,237.50
  6. Step 6: Final answer
    x = 14,660.98

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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.