Home / 1,567.26-2,348.18-825.78

Finding the Fourth Proportional to 1,567.26, 2,348.18 and 825.78

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Solution

The fourth proportional to 1,567.26, 2,348.18 and 825.78 is: 1,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.26 : 2,348.18 = 825.78 : x
  2. Step 2: Convert to fraction form
    1,567.26/2,348.18 = 825.78/x
  3. Step 3: Cross multiply
    1,567.26x = 2,348.18 × 825.78
  4. Step 4: Simplify right side
    1,567.26x = 1,939,080.08
  5. Step 5: Solve for x
    x = 1,939,080.08/1,567.26
  6. Step 6: Final answer
    x = 1,237.24

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1.5x scale

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.