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Finding the Fourth Proportional to 10,136, 13,987.68 and 5,720

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Solution

The fourth proportional to 10,136, 13,987.68 and 5,720 is: 7,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136 : 13,987.68 = 5,720 : x
  2. Step 2: Convert to fraction form
    10,136/13,987.68 = 5,720/x
  3. Step 3: Cross multiply
    10,136x = 13,987.68 × 5,720
  4. Step 4: Simplify right side
    10,136x = 80,009,529.60
  5. Step 5: Solve for x
    x = 80,009,529.60/10,136
  6. Step 6: Final answer
    x = 7,893.60

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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.