Home / 1,461.24-2,188.36-802.14

Finding the Fourth Proportional to 1,461.24, 2,188.36 and 802.14

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Solution

The fourth proportional to 1,461.24, 2,188.36 and 802.14 is: 1,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.24 : 2,188.36 = 802.14 : x
  2. Step 2: Convert to fraction form
    1,461.24/2,188.36 = 802.14/x
  3. Step 3: Cross multiply
    1,461.24x = 2,188.36 × 802.14
  4. Step 4: Simplify right side
    1,461.24x = 1,755,371.09
  5. Step 5: Solve for x
    x = 1,755,371.09/1,461.24
  6. Step 6: Final answer
    x = 1,201.29

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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.