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Finding the Fourth Proportional to 2,558.65, 3,530.91 and 1,454.65

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Solution

The fourth proportional to 2,558.65, 3,530.91 and 1,454.65 is: 2,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.65 : 3,530.91 = 1,454.65 : x
  2. Step 2: Convert to fraction form
    2,558.65/3,530.91 = 1,454.65/x
  3. Step 3: Cross multiply
    2,558.65x = 3,530.91 × 1,454.65
  4. Step 4: Simplify right side
    2,558.65x = 5,136,224.21
  5. Step 5: Solve for x
    x = 5,136,224.21/2,558.65
  6. Step 6: Final answer
    x = 2,007.40

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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.