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Finding the Fourth Proportional to 28,314, 42,471.36 and 9,846

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Solution

The fourth proportional to 28,314, 42,471.36 and 9,846 is: 14,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,314 : 42,471.36 = 9,846 : x
  2. Step 2: Convert to fraction form
    28,314/42,471.36 = 9,846/x
  3. Step 3: Cross multiply
    28,314x = 42,471.36 × 9,846
  4. Step 4: Simplify right side
    28,314x = 418,173,010.56
  5. Step 5: Solve for x
    x = 418,173,010.56/28,314
  6. Step 6: Final answer
    x = 14,769.13

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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.