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Finding the Fourth Proportional to 5,152, 7,727.85 and 2,378.71

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Solution

The fourth proportional to 5,152, 7,727.85 and 2,378.71 is: 3,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152 : 7,727.85 = 2,378.71 : x
  2. Step 2: Convert to fraction form
    5,152/7,727.85 = 2,378.71/x
  3. Step 3: Cross multiply
    5,152x = 7,727.85 × 2,378.71
  4. Step 4: Simplify right side
    5,152x = 18,382,314.07
  5. Step 5: Solve for x
    x = 18,382,314.07/5,152
  6. Step 6: Final answer
    x = 3,568.00

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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.