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Finding the Fourth Proportional to 26,440, 39,655.75 and 7,715.64

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Solution

The fourth proportional to 26,440, 39,655.75 and 7,715.64 is: 11,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,440 : 39,655.75 = 7,715.64 : x
  2. Step 2: Convert to fraction form
    26,440/39,655.75 = 7,715.64/x
  3. Step 3: Cross multiply
    26,440x = 39,655.75 × 7,715.64
  4. Step 4: Simplify right side
    26,440x = 305,969,452.35
  5. Step 5: Solve for x
    x = 305,969,452.35/26,440
  6. Step 6: Final answer
    x = 11,572.22

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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.