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Finding the Fourth Proportional to 4,378.75, 6,568.17 and 1,300.75

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Solution

The fourth proportional to 4,378.75, 6,568.17 and 1,300.75 is: 1,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.75 : 6,568.17 = 1,300.75 : x
  2. Step 2: Convert to fraction form
    4,378.75/6,568.17 = 1,300.75/x
  3. Step 3: Cross multiply
    4,378.75x = 6,568.17 × 1,300.75
  4. Step 4: Simplify right side
    4,378.75x = 8,543,547.13
  5. Step 5: Solve for x
    x = 8,543,547.13/4,378.75
  6. Step 6: Final answer
    x = 1,951.14

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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.