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Finding the Fourth Proportional to 9,913, 14,871.66 and 3,757

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Solution

The fourth proportional to 9,913, 14,871.66 and 3,757 is: 5,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913 : 14,871.66 = 3,757 : x
  2. Step 2: Convert to fraction form
    9,913/14,871.66 = 3,757/x
  3. Step 3: Cross multiply
    9,913x = 14,871.66 × 3,757
  4. Step 4: Simplify right side
    9,913x = 55,872,826.62
  5. Step 5: Solve for x
    x = 55,872,826.62/9,913
  6. Step 6: Final answer
    x = 5,636.32

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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.