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Finding the Fourth Proportional to 13,470, 18,588.60 and 7,882.08

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Solution

The fourth proportional to 13,470, 18,588.60 and 7,882.08 is: 10,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470 : 18,588.60 = 7,882.08 : x
  2. Step 2: Convert to fraction form
    13,470/18,588.60 = 7,882.08/x
  3. Step 3: Cross multiply
    13,470x = 18,588.60 × 7,882.08
  4. Step 4: Simplify right side
    13,470x = 146,516,832.29
  5. Step 5: Solve for x
    x = 146,516,832.29/13,470
  6. Step 6: Final answer
    x = 10,877.27

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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.