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Finding the Fourth Proportional to 4,578.75, 6,864.03 and 1,656.39

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Solution

The fourth proportional to 4,578.75, 6,864.03 and 1,656.39 is: 2,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.75 : 6,864.03 = 1,656.39 : x
  2. Step 2: Convert to fraction form
    4,578.75/6,864.03 = 1,656.39/x
  3. Step 3: Cross multiply
    4,578.75x = 6,864.03 × 1,656.39
  4. Step 4: Simplify right side
    4,578.75x = 11,369,510.65
  5. Step 5: Solve for x
    x = 11,369,510.65/4,578.75
  6. Step 6: Final answer
    x = 2,483.10

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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.