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Finding the Fourth Proportional to 26,655.66, 39,950.70 and 9,105

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Solution

The fourth proportional to 26,655.66, 39,950.70 and 9,105 is: 13,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,655.66 : 39,950.70 = 9,105 : x
  2. Step 2: Convert to fraction form
    26,655.66/39,950.70 = 9,105/x
  3. Step 3: Cross multiply
    26,655.66x = 39,950.70 × 9,105
  4. Step 4: Simplify right side
    26,655.66x = 363,751,123.50
  5. Step 5: Solve for x
    x = 363,751,123.50/26,655.66
  6. Step 6: Final answer
    x = 13,646.30

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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.