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Finding the Fourth Proportional to 26,898.30, 40,342.05 and 12,858.30

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Solution

The fourth proportional to 26,898.30, 40,342.05 and 12,858.30 is: 19,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,898.30 : 40,342.05 = 12,858.30 : x
  2. Step 2: Convert to fraction form
    26,898.30/40,342.05 = 12,858.30/x
  3. Step 3: Cross multiply
    26,898.30x = 40,342.05 × 12,858.30
  4. Step 4: Simplify right side
    26,898.30x = 518,730,181.52
  5. Step 5: Solve for x
    x = 518,730,181.52/26,898.30
  6. Step 6: Final answer
    x = 19,284.87

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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.