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Finding the Fourth Proportional to 10,069.70, 15,099.15 and 4,219.70

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Solution

The fourth proportional to 10,069.70, 15,099.15 and 4,219.70 is: 6,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.70 : 15,099.15 = 4,219.70 : x
  2. Step 2: Convert to fraction form
    10,069.70/15,099.15 = 4,219.70/x
  3. Step 3: Cross multiply
    10,069.70x = 15,099.15 × 4,219.70
  4. Step 4: Simplify right side
    10,069.70x = 63,713,883.26
  5. Step 5: Solve for x
    x = 63,713,883.26/10,069.70
  6. Step 6: Final answer
    x = 6,327.29

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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.