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Finding the Fourth Proportional to 26,398, 39,547.56 and 13,234.96

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Solution

The fourth proportional to 26,398, 39,547.56 and 13,234.96 is: 19,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,398 : 39,547.56 = 13,234.96 : x
  2. Step 2: Convert to fraction form
    26,398/39,547.56 = 13,234.96/x
  3. Step 3: Cross multiply
    26,398x = 39,547.56 × 13,234.96
  4. Step 4: Simplify right side
    26,398x = 523,410,374.70
  5. Step 5: Solve for x
    x = 523,410,374.70/26,398
  6. Step 6: Final answer
    x = 19,827.65

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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.