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Finding the Fourth Proportional to 2,600.66, 3,896.59 and 1,572.50

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Solution

The fourth proportional to 2,600.66, 3,896.59 and 1,572.50 is: 2,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.66 : 3,896.59 = 1,572.50 : x
  2. Step 2: Convert to fraction form
    2,600.66/3,896.59 = 1,572.50/x
  3. Step 3: Cross multiply
    2,600.66x = 3,896.59 × 1,572.50
  4. Step 4: Simplify right side
    2,600.66x = 6,127,387.78
  5. Step 5: Solve for x
    x = 6,127,387.78/2,600.66
  6. Step 6: Final answer
    x = 2,356.09

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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.