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Finding the Fourth Proportional to 1,575.46, 2,175 and 1,259.68

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Solution

The fourth proportional to 1,575.46, 2,175 and 1,259.68 is: 1,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.46 : 2,175 = 1,259.68 : x
  2. Step 2: Convert to fraction form
    1,575.46/2,175 = 1,259.68/x
  3. Step 3: Cross multiply
    1,575.46x = 2,175 × 1,259.68
  4. Step 4: Simplify right side
    1,575.46x = 2,739,804
  5. Step 5: Solve for x
    x = 2,739,804/1,575.46
  6. Step 6: Final answer
    x = 1,739.05

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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.