Home / 1,140.24-1,574.18-825.17

Finding the Fourth Proportional to 1,140.24, 1,574.18 and 825.17

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Solution

The fourth proportional to 1,140.24, 1,574.18 and 825.17 is: 1,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.24 : 1,574.18 = 825.17 : x
  2. Step 2: Convert to fraction form
    1,140.24/1,574.18 = 825.17/x
  3. Step 3: Cross multiply
    1,140.24x = 1,574.18 × 825.17
  4. Step 4: Simplify right side
    1,140.24x = 1,298,977.35
  5. Step 5: Solve for x
    x = 1,298,977.35/1,140.24
  6. Step 6: Final answer
    x = 1,139.21

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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.