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Finding the Fourth Proportional to 12,585.38, 17,368.02 and 6,996.38

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Solution

The fourth proportional to 12,585.38, 17,368.02 and 6,996.38 is: 9,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.38 : 17,368.02 = 6,996.38 : x
  2. Step 2: Convert to fraction form
    12,585.38/17,368.02 = 6,996.38/x
  3. Step 3: Cross multiply
    12,585.38x = 17,368.02 × 6,996.38
  4. Step 4: Simplify right side
    12,585.38x = 121,513,180.93
  5. Step 5: Solve for x
    x = 121,513,180.93/12,585.38
  6. Step 6: Final answer
    x = 9,655.11

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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.