Home / 1,579.36-2,179.40-916.16

Finding the Fourth Proportional to 1,579.36, 2,179.40 and 916.16

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Solution

The fourth proportional to 1,579.36, 2,179.40 and 916.16 is: 1,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.36 : 2,179.40 = 916.16 : x
  2. Step 2: Convert to fraction form
    1,579.36/2,179.40 = 916.16/x
  3. Step 3: Cross multiply
    1,579.36x = 2,179.40 × 916.16
  4. Step 4: Simplify right side
    1,579.36x = 1,996,679.10
  5. Step 5: Solve for x
    x = 1,996,679.10/1,579.36
  6. Step 6: Final answer
    x = 1,264.23

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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.