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Finding the Fourth Proportional to 2,752.29, 3,798.39 and 1,573.74

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Solution

The fourth proportional to 2,752.29, 3,798.39 and 1,573.74 is: 2,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.29 : 3,798.39 = 1,573.74 : x
  2. Step 2: Convert to fraction form
    2,752.29/3,798.39 = 1,573.74/x
  3. Step 3: Cross multiply
    2,752.29x = 3,798.39 × 1,573.74
  4. Step 4: Simplify right side
    2,752.29x = 5,977,678.28
  5. Step 5: Solve for x
    x = 5,977,678.28/2,752.29
  6. Step 6: Final answer
    x = 2,171.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.