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Finding the Fourth Proportional to 10,102.77, 15,152.13 and 3,438.50

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Solution

The fourth proportional to 10,102.77, 15,152.13 and 3,438.50 is: 5,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.77 : 15,152.13 = 3,438.50 : x
  2. Step 2: Convert to fraction form
    10,102.77/15,152.13 = 3,438.50/x
  3. Step 3: Cross multiply
    10,102.77x = 15,152.13 × 3,438.50
  4. Step 4: Simplify right side
    10,102.77x = 52,100,523.24
  5. Step 5: Solve for x
    x = 52,100,523.24/10,102.77
  6. Step 6: Final answer
    x = 5,157.05

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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.