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Finding the Fourth Proportional to 2,748.81, 4,122.77 and 899.91

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Solution

The fourth proportional to 2,748.81, 4,122.77 and 899.91 is: 1,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.81 : 4,122.77 = 899.91 : x
  2. Step 2: Convert to fraction form
    2,748.81/4,122.77 = 899.91/x
  3. Step 3: Cross multiply
    2,748.81x = 4,122.77 × 899.91
  4. Step 4: Simplify right side
    2,748.81x = 3,710,121.95
  5. Step 5: Solve for x
    x = 3,710,121.95/2,748.81
  6. Step 6: Final answer
    x = 1,349.72

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1.5x scale

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.