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Finding the Fourth Proportional to 9,888.57, 13,646.22 and 6,744.75

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Solution

The fourth proportional to 9,888.57, 13,646.22 and 6,744.75 is: 9,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.57 : 13,646.22 = 6,744.75 : x
  2. Step 2: Convert to fraction form
    9,888.57/13,646.22 = 6,744.75/x
  3. Step 3: Cross multiply
    9,888.57x = 13,646.22 × 6,744.75
  4. Step 4: Simplify right side
    9,888.57x = 92,040,342.35
  5. Step 5: Solve for x
    x = 92,040,342.35/9,888.57
  6. Step 6: Final answer
    x = 9,307.75

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Half scale
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1.5x scale

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.