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Finding the Fourth Proportional to 2,471.61, 3,410.74 and 1,352.50

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Solution

The fourth proportional to 2,471.61, 3,410.74 and 1,352.50 is: 1,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.61 : 3,410.74 = 1,352.50 : x
  2. Step 2: Convert to fraction form
    2,471.61/3,410.74 = 1,352.50/x
  3. Step 3: Cross multiply
    2,471.61x = 3,410.74 × 1,352.50
  4. Step 4: Simplify right side
    2,471.61x = 4,613,019.01
  5. Step 5: Solve for x
    x = 4,613,019.01/2,471.61
  6. Step 6: Final answer
    x = 1,866.40

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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.