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Finding the Fourth Proportional to 10,012.80, 15,019.50 and 3,438.90

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Solution

The fourth proportional to 10,012.80, 15,019.50 and 3,438.90 is: 5,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.80 : 15,019.50 = 3,438.90 : x
  2. Step 2: Convert to fraction form
    10,012.80/15,019.50 = 3,438.90/x
  3. Step 3: Cross multiply
    10,012.80x = 15,019.50 × 3,438.90
  4. Step 4: Simplify right side
    10,012.80x = 51,650,558.55
  5. Step 5: Solve for x
    x = 51,650,558.55/10,012.80
  6. Step 6: Final answer
    x = 5,158.45

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1.5x scale

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.