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Finding the Fourth Proportional to 26,148, 39,216.10 and 7,427.64

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Solution

The fourth proportional to 26,148, 39,216.10 and 7,427.64 is: 11,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,148 : 39,216.10 = 7,427.64 : x
  2. Step 2: Convert to fraction form
    26,148/39,216.10 = 7,427.64/x
  3. Step 3: Cross multiply
    26,148x = 39,216.10 × 7,427.64
  4. Step 4: Simplify right side
    26,148x = 291,283,073.00
  5. Step 5: Solve for x
    x = 291,283,073.00/26,148
  6. Step 6: Final answer
    x = 11,139.78

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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.