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Finding the Fourth Proportional to 9,868.19, 13,627.68 and 8,443.53

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Solution

The fourth proportional to 9,868.19, 13,627.68 and 8,443.53 is: 11,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.19 : 13,627.68 = 8,443.53 : x
  2. Step 2: Convert to fraction form
    9,868.19/13,627.68 = 8,443.53/x
  3. Step 3: Cross multiply
    9,868.19x = 13,627.68 × 8,443.53
  4. Step 4: Simplify right side
    9,868.19x = 115,065,726.11
  5. Step 5: Solve for x
    x = 115,065,726.11/9,868.19
  6. Step 6: Final answer
    x = 11,660.27

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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.