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Finding the Fourth Proportional to 26,602.43, 39,898.12 and 7,878.08

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Solution

The fourth proportional to 26,602.43, 39,898.12 and 7,878.08 is: 11,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.43 : 39,898.12 = 7,878.08 : x
  2. Step 2: Convert to fraction form
    26,602.43/39,898.12 = 7,878.08/x
  3. Step 3: Cross multiply
    26,602.43x = 39,898.12 × 7,878.08
  4. Step 4: Simplify right side
    26,602.43x = 314,320,581.21
  5. Step 5: Solve for x
    x = 314,320,581.21/26,602.43
  6. Step 6: Final answer
    x = 11,815.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.