Home / 20,724-31,102.38-9,045.42

Finding the Fourth Proportional to 20,724, 31,102.38 and 9,045.42

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Solution

The fourth proportional to 20,724, 31,102.38 and 9,045.42 is: 13,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724 : 31,102.38 = 9,045.42 : x
  2. Step 2: Convert to fraction form
    20,724/31,102.38 = 9,045.42/x
  3. Step 3: Cross multiply
    20,724x = 31,102.38 × 9,045.42
  4. Step 4: Simplify right side
    20,724x = 281,334,090.10
  5. Step 5: Solve for x
    x = 281,334,090.10/20,724
  6. Step 6: Final answer
    x = 13,575.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.