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Finding the Fourth Proportional to 15,874.64, 23,822.88 and 7,119.34

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Solution

The fourth proportional to 15,874.64, 23,822.88 and 7,119.34 is: 10,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.64 : 23,822.88 = 7,119.34 : x
  2. Step 2: Convert to fraction form
    15,874.64/23,822.88 = 7,119.34/x
  3. Step 3: Cross multiply
    15,874.64x = 23,822.88 × 7,119.34
  4. Step 4: Simplify right side
    15,874.64x = 169,603,182.50
  5. Step 5: Solve for x
    x = 169,603,182.50/15,874.64
  6. Step 6: Final answer
    x = 10,683.91

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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.