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Finding the Fourth Proportional to 2,471.80, 3,715.80 and 1,746.40

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Solution

The fourth proportional to 2,471.80, 3,715.80 and 1,746.40 is: 2,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.80 : 3,715.80 = 1,746.40 : x
  2. Step 2: Convert to fraction form
    2,471.80/3,715.80 = 1,746.40/x
  3. Step 3: Cross multiply
    2,471.80x = 3,715.80 × 1,746.40
  4. Step 4: Simplify right side
    2,471.80x = 6,489,273.12
  5. Step 5: Solve for x
    x = 6,489,273.12/2,471.80
  6. Step 6: Final answer
    x = 2,625.32

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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.