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Finding the Fourth Proportional to 15,136, 20,888.96 and 8,513.28

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Solution

The fourth proportional to 15,136, 20,888.96 and 8,513.28 is: 11,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136 : 20,888.96 = 8,513.28 : x
  2. Step 2: Convert to fraction form
    15,136/20,888.96 = 8,513.28/x
  3. Step 3: Cross multiply
    15,136x = 20,888.96 × 8,513.28
  4. Step 4: Simplify right side
    15,136x = 177,833,565.39
  5. Step 5: Solve for x
    x = 177,833,565.39/15,136
  6. Step 6: Final answer
    x = 11,749.05

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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.