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Finding the Fourth Proportional to 12,341.38, 17,032.08 and 7,867.12

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Solution

The fourth proportional to 12,341.38, 17,032.08 and 7,867.12 is: 10,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.38 : 17,032.08 = 7,867.12 : x
  2. Step 2: Convert to fraction form
    12,341.38/17,032.08 = 7,867.12/x
  3. Step 3: Cross multiply
    12,341.38x = 17,032.08 × 7,867.12
  4. Step 4: Simplify right side
    12,341.38x = 133,993,417.21
  5. Step 5: Solve for x
    x = 133,993,417.21/12,341.38
  6. Step 6: Final answer
    x = 10,857.25

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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.