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Finding the Fourth Proportional to 9,876.74, 14,806.40 and 4,939.38

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Solution

The fourth proportional to 9,876.74, 14,806.40 and 4,939.38 is: 7,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.74 : 14,806.40 = 4,939.38 : x
  2. Step 2: Convert to fraction form
    9,876.74/14,806.40 = 4,939.38/x
  3. Step 3: Cross multiply
    9,876.74x = 14,806.40 × 4,939.38
  4. Step 4: Simplify right side
    9,876.74x = 73,134,411.34
  5. Step 5: Solve for x
    x = 73,134,411.34/9,876.74
  6. Step 6: Final answer
    x = 7,404.72

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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.