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Finding the Fourth Proportional to 2,575, 3,554.40 and 1,566.70

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Solution

The fourth proportional to 2,575, 3,554.40 and 1,566.70 is: 2,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575 : 3,554.40 = 1,566.70 : x
  2. Step 2: Convert to fraction form
    2,575/3,554.40 = 1,566.70/x
  3. Step 3: Cross multiply
    2,575x = 3,554.40 × 1,566.70
  4. Step 4: Simplify right side
    2,575x = 5,568,678.48
  5. Step 5: Solve for x
    x = 5,568,678.48/2,575
  6. Step 6: Final answer
    x = 2,162.59

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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.