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Finding the Fourth Proportional to 6,913, 9,540 and 4,118.56

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Solution

The fourth proportional to 6,913, 9,540 and 4,118.56 is: 5,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913 : 9,540 = 4,118.56 : x
  2. Step 2: Convert to fraction form
    6,913/9,540 = 4,118.56/x
  3. Step 3: Cross multiply
    6,913x = 9,540 × 4,118.56
  4. Step 4: Simplify right side
    6,913x = 39,291,062.40
  5. Step 5: Solve for x
    x = 39,291,062.40/6,913
  6. Step 6: Final answer
    x = 5,683.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.