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Finding the Fourth Proportional to 2,580.54, 3,871.02 and 1,547.59

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Solution

The fourth proportional to 2,580.54, 3,871.02 and 1,547.59 is: 2,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.54 : 3,871.02 = 1,547.59 : x
  2. Step 2: Convert to fraction form
    2,580.54/3,871.02 = 1,547.59/x
  3. Step 3: Cross multiply
    2,580.54x = 3,871.02 × 1,547.59
  4. Step 4: Simplify right side
    2,580.54x = 5,990,751.84
  5. Step 5: Solve for x
    x = 5,990,751.84/2,580.54
  6. Step 6: Final answer
    x = 2,321.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.