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Finding the Fourth Proportional to 26,136, 39,208.32 and 7,672.32

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Solution

The fourth proportional to 26,136, 39,208.32 and 7,672.32 is: 11,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,136 : 39,208.32 = 7,672.32 : x
  2. Step 2: Convert to fraction form
    26,136/39,208.32 = 7,672.32/x
  3. Step 3: Cross multiply
    26,136x = 39,208.32 × 7,672.32
  4. Step 4: Simplify right side
    26,136x = 300,818,777.70
  5. Step 5: Solve for x
    x = 300,818,777.70/26,136
  6. Step 6: Final answer
    x = 11,509.75

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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.