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Finding the Fourth Proportional to 2,053.52, 3,079.74 and 899

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Solution

The fourth proportional to 2,053.52, 3,079.74 and 899 is: 1,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.52 : 3,079.74 = 899 : x
  2. Step 2: Convert to fraction form
    2,053.52/3,079.74 = 899/x
  3. Step 3: Cross multiply
    2,053.52x = 3,079.74 × 899
  4. Step 4: Simplify right side
    2,053.52x = 2,768,686.26
  5. Step 5: Solve for x
    x = 2,768,686.26/2,053.52
  6. Step 6: Final answer
    x = 1,348.26

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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.