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Finding the Fourth Proportional to 13,136, 18,127.68 and 9,781.70

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Solution

The fourth proportional to 13,136, 18,127.68 and 9,781.70 is: 13,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136 : 18,127.68 = 9,781.70 : x
  2. Step 2: Convert to fraction form
    13,136/18,127.68 = 9,781.70/x
  3. Step 3: Cross multiply
    13,136x = 18,127.68 × 9,781.70
  4. Step 4: Simplify right side
    13,136x = 177,319,527.46
  5. Step 5: Solve for x
    x = 177,319,527.46/13,136
  6. Step 6: Final answer
    x = 13,498.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.