Home / 1,730.24-2,371.09-1,564.17

Finding the Fourth Proportional to 1,730.24, 2,371.09 and 1,564.17

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Solution

The fourth proportional to 1,730.24, 2,371.09 and 1,564.17 is: 2,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.24 : 2,371.09 = 1,564.17 : x
  2. Step 2: Convert to fraction form
    1,730.24/2,371.09 = 1,564.17/x
  3. Step 3: Cross multiply
    1,730.24x = 2,371.09 × 1,564.17
  4. Step 4: Simplify right side
    1,730.24x = 3,708,787.85
  5. Step 5: Solve for x
    x = 3,708,787.85/1,730.24
  6. Step 6: Final answer
    x = 2,143.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.