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Finding the Fourth Proportional to 15,102.38, 20,802.20 and 10,557.02

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Solution

The fourth proportional to 15,102.38, 20,802.20 and 10,557.02 is: 14,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.38 : 20,802.20 = 10,557.02 : x
  2. Step 2: Convert to fraction form
    15,102.38/20,802.20 = 10,557.02/x
  3. Step 3: Cross multiply
    15,102.38x = 20,802.20 × 10,557.02
  4. Step 4: Simplify right side
    15,102.38x = 219,609,241.44
  5. Step 5: Solve for x
    x = 219,609,241.44/15,102.38
  6. Step 6: Final answer
    x = 14,541.37

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1.5x scale

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.