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Finding the Fourth Proportional to 26,155, 39,250.14 and 9,739

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Solution

The fourth proportional to 26,155, 39,250.14 and 9,739 is: 14,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,155 : 39,250.14 = 9,739 : x
  2. Step 2: Convert to fraction form
    26,155/39,250.14 = 9,739/x
  3. Step 3: Cross multiply
    26,155x = 39,250.14 × 9,739
  4. Step 4: Simplify right side
    26,155x = 382,257,113.46
  5. Step 5: Solve for x
    x = 382,257,113.46/26,155
  6. Step 6: Final answer
    x = 14,615.07

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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.