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Finding the Fourth Proportional to 2,784.47, 4,176.82 and 1,559.69

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Solution

The fourth proportional to 2,784.47, 4,176.82 and 1,559.69 is: 2,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.47 : 4,176.82 = 1,559.69 : x
  2. Step 2: Convert to fraction form
    2,784.47/4,176.82 = 1,559.69/x
  3. Step 3: Cross multiply
    2,784.47x = 4,176.82 × 1,559.69
  4. Step 4: Simplify right side
    2,784.47x = 6,514,523.50
  5. Step 5: Solve for x
    x = 6,514,523.50/2,784.47
  6. Step 6: Final answer
    x = 2,339.59

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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.