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Finding the Fourth Proportional to 26,407.58, 39,613.95 and 7,687.80

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Solution

The fourth proportional to 26,407.58, 39,613.95 and 7,687.80 is: 11,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,407.58 : 39,613.95 = 7,687.80 : x
  2. Step 2: Convert to fraction form
    26,407.58/39,613.95 = 7,687.80/x
  3. Step 3: Cross multiply
    26,407.58x = 39,613.95 × 7,687.80
  4. Step 4: Simplify right side
    26,407.58x = 304,544,124.81
  5. Step 5: Solve for x
    x = 304,544,124.81/26,407.58
  6. Step 6: Final answer
    x = 11,532.45

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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.