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Finding the Fourth Proportional to 15,152, 20,912.66 and 8,528

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Solution

The fourth proportional to 15,152, 20,912.66 and 8,528 is: 11,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152 : 20,912.66 = 8,528 : x
  2. Step 2: Convert to fraction form
    15,152/20,912.66 = 8,528/x
  3. Step 3: Cross multiply
    15,152x = 20,912.66 × 8,528
  4. Step 4: Simplify right side
    15,152x = 178,343,164.48
  5. Step 5: Solve for x
    x = 178,343,164.48/15,152
  6. Step 6: Final answer
    x = 11,770.27

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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.