Home / 1,577.10-2,178.54-1,411.32

Finding the Fourth Proportional to 1,577.10, 2,178.54 and 1,411.32

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Solution

The fourth proportional to 1,577.10, 2,178.54 and 1,411.32 is: 1,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.10 : 2,178.54 = 1,411.32 : x
  2. Step 2: Convert to fraction form
    1,577.10/2,178.54 = 1,411.32/x
  3. Step 3: Cross multiply
    1,577.10x = 2,178.54 × 1,411.32
  4. Step 4: Simplify right side
    1,577.10x = 3,074,617.07
  5. Step 5: Solve for x
    x = 3,074,617.07/1,577.10
  6. Step 6: Final answer
    x = 1,949.54

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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.