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Finding the Fourth Proportional to 2,625.48, 3,915 and 2,446.74

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Solution

The fourth proportional to 2,625.48, 3,915 and 2,446.74 is: 3,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.48 : 3,915 = 2,446.74 : x
  2. Step 2: Convert to fraction form
    2,625.48/3,915 = 2,446.74/x
  3. Step 3: Cross multiply
    2,625.48x = 3,915 × 2,446.74
  4. Step 4: Simplify right side
    2,625.48x = 9,578,987.10
  5. Step 5: Solve for x
    x = 9,578,987.10/2,625.48
  6. Step 6: Final answer
    x = 3,648.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.