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Finding the Fourth Proportional to 9,868, 13,642.14 and 9,454.92

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Solution

The fourth proportional to 9,868, 13,642.14 and 9,454.92 is: 13,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868 : 13,642.14 = 9,454.92 : x
  2. Step 2: Convert to fraction form
    9,868/13,642.14 = 9,454.92/x
  3. Step 3: Cross multiply
    9,868x = 13,642.14 × 9,454.92
  4. Step 4: Simplify right side
    9,868x = 128,985,342.33
  5. Step 5: Solve for x
    x = 128,985,342.33/9,868
  6. Step 6: Final answer
    x = 13,071.07

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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.