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Finding the Fourth Proportional to 2,590, 3,574.20 and 1,486

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Solution

The fourth proportional to 2,590, 3,574.20 and 1,486 is: 2,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590 : 3,574.20 = 1,486 : x
  2. Step 2: Convert to fraction form
    2,590/3,574.20 = 1,486/x
  3. Step 3: Cross multiply
    2,590x = 3,574.20 × 1,486
  4. Step 4: Simplify right side
    2,590x = 5,311,261.20
  5. Step 5: Solve for x
    x = 5,311,261.20/2,590
  6. Step 6: Final answer
    x = 2,050.68

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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.