Home / 1,708.24-2,564.80-1,121.40

Finding the Fourth Proportional to 1,708.24, 2,564.80 and 1,121.40

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Solution

The fourth proportional to 1,708.24, 2,564.80 and 1,121.40 is: 1,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.24 : 2,564.80 = 1,121.40 : x
  2. Step 2: Convert to fraction form
    1,708.24/2,564.80 = 1,121.40/x
  3. Step 3: Cross multiply
    1,708.24x = 2,564.80 × 1,121.40
  4. Step 4: Simplify right side
    1,708.24x = 2,876,166.72
  5. Step 5: Solve for x
    x = 2,876,166.72/1,708.24
  6. Step 6: Final answer
    x = 1,683.70

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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.