Home / 1,527.12-2,287.44-874.80

Finding the Fourth Proportional to 1,527.12, 2,287.44 and 874.80

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Solution

The fourth proportional to 1,527.12, 2,287.44 and 874.80 is: 1,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.12 : 2,287.44 = 874.80 : x
  2. Step 2: Convert to fraction form
    1,527.12/2,287.44 = 874.80/x
  3. Step 3: Cross multiply
    1,527.12x = 2,287.44 × 874.80
  4. Step 4: Simplify right side
    1,527.12x = 2,001,052.51
  5. Step 5: Solve for x
    x = 2,001,052.51/1,527.12
  6. Step 6: Final answer
    x = 1,310.34

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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.