Home / 2,088.36-3,132.95-702.12

Finding the Fourth Proportional to 2,088.36, 3,132.95 and 702.12

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Solution

The fourth proportional to 2,088.36, 3,132.95 and 702.12 is: 1,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.36 : 3,132.95 = 702.12 : x
  2. Step 2: Convert to fraction form
    2,088.36/3,132.95 = 702.12/x
  3. Step 3: Cross multiply
    2,088.36x = 3,132.95 × 702.12
  4. Step 4: Simplify right side
    2,088.36x = 2,199,706.85
  5. Step 5: Solve for x
    x = 2,199,706.85/2,088.36
  6. Step 6: Final answer
    x = 1,053.32

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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.