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Finding the Fourth Proportional to 2,590, 3,574.24 and 1,411.10

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Solution

The fourth proportional to 2,590, 3,574.24 and 1,411.10 is: 1,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590 : 3,574.24 = 1,411.10 : x
  2. Step 2: Convert to fraction form
    2,590/3,574.24 = 1,411.10/x
  3. Step 3: Cross multiply
    2,590x = 3,574.24 × 1,411.10
  4. Step 4: Simplify right side
    2,590x = 5,043,610.06
  5. Step 5: Solve for x
    x = 5,043,610.06/2,590
  6. Step 6: Final answer
    x = 1,947.34

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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.