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Finding the Fourth Proportional to 13,145.70, 19,723.95 and 4,829.70

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Solution

The fourth proportional to 13,145.70, 19,723.95 and 4,829.70 is: 7,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.70 : 19,723.95 = 4,829.70 : x
  2. Step 2: Convert to fraction form
    13,145.70/19,723.95 = 4,829.70/x
  3. Step 3: Cross multiply
    13,145.70x = 19,723.95 × 4,829.70
  4. Step 4: Simplify right side
    13,145.70x = 95,260,761.32
  5. Step 5: Solve for x
    x = 95,260,761.32/13,145.70
  6. Step 6: Final answer
    x = 7,246.53

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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.