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Finding the Fourth Proportional to 9,916.77, 14,865.07 and 6,221.57

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Solution

The fourth proportional to 9,916.77, 14,865.07 and 6,221.57 is: 9,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.77 : 14,865.07 = 6,221.57 : x
  2. Step 2: Convert to fraction form
    9,916.77/14,865.07 = 6,221.57/x
  3. Step 3: Cross multiply
    9,916.77x = 14,865.07 × 6,221.57
  4. Step 4: Simplify right side
    9,916.77x = 92,484,073.56
  5. Step 5: Solve for x
    x = 92,484,073.56/9,916.77
  6. Step 6: Final answer
    x = 9,326.03

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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.