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Finding the Fourth Proportional to 5,355.65, 8,019.50 and 4,309.94

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Solution

The fourth proportional to 5,355.65, 8,019.50 and 4,309.94 is: 6,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.65 : 8,019.50 = 4,309.94 : x
  2. Step 2: Convert to fraction form
    5,355.65/8,019.50 = 4,309.94/x
  3. Step 3: Cross multiply
    5,355.65x = 8,019.50 × 4,309.94
  4. Step 4: Simplify right side
    5,355.65x = 34,563,502.18
  5. Step 5: Solve for x
    x = 34,563,502.18/5,355.65
  6. Step 6: Final answer
    x = 6,453.66

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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.