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Finding the Fourth Proportional to 3,124.62, 4,686.82 and 784.65

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Solution

The fourth proportional to 3,124.62, 4,686.82 and 784.65 is: 1,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.62 : 4,686.82 = 784.65 : x
  2. Step 2: Convert to fraction form
    3,124.62/4,686.82 = 784.65/x
  3. Step 3: Cross multiply
    3,124.62x = 4,686.82 × 784.65
  4. Step 4: Simplify right side
    3,124.62x = 3,677,493.78
  5. Step 5: Solve for x
    x = 3,677,493.78/3,124.62
  6. Step 6: Final answer
    x = 1,176.94

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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.