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Finding the Fourth Proportional to 2,709.91, 4,064.77 and 1,148.91

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Solution

The fourth proportional to 2,709.91, 4,064.77 and 1,148.91 is: 1,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.91 : 4,064.77 = 1,148.91 : x
  2. Step 2: Convert to fraction form
    2,709.91/4,064.77 = 1,148.91/x
  3. Step 3: Cross multiply
    2,709.91x = 4,064.77 × 1,148.91
  4. Step 4: Simplify right side
    2,709.91x = 4,670,036.79
  5. Step 5: Solve for x
    x = 4,670,036.79/2,709.91
  6. Step 6: Final answer
    x = 1,723.32

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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.