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Finding the Fourth Proportional to 26,157, 39,252.78 and 12,307.08

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Solution

The fourth proportional to 26,157, 39,252.78 and 12,307.08 is: 18,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,157 : 39,252.78 = 12,307.08 : x
  2. Step 2: Convert to fraction form
    26,157/39,252.78 = 12,307.08/x
  3. Step 3: Cross multiply
    26,157x = 39,252.78 × 12,307.08
  4. Step 4: Simplify right side
    26,157x = 483,087,103.68
  5. Step 5: Solve for x
    x = 483,087,103.68/26,157
  6. Step 6: Final answer
    x = 18,468.75

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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.