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Finding the Fourth Proportional to 27,136.40, 40,710.42 and 8,416.02

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Solution

The fourth proportional to 27,136.40, 40,710.42 and 8,416.02 is: 12,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.40 : 40,710.42 = 8,416.02 : x
  2. Step 2: Convert to fraction form
    27,136.40/40,710.42 = 8,416.02/x
  3. Step 3: Cross multiply
    27,136.40x = 40,710.42 × 8,416.02
  4. Step 4: Simplify right side
    27,136.40x = 342,619,708.93
  5. Step 5: Solve for x
    x = 342,619,708.93/27,136.40
  6. Step 6: Final answer
    x = 12,625.84

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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.