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Finding the Fourth Proportional to 2,663.46, 3,669.45 and 2,103.74

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Solution

The fourth proportional to 2,663.46, 3,669.45 and 2,103.74 is: 2,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.46 : 3,669.45 = 2,103.74 : x
  2. Step 2: Convert to fraction form
    2,663.46/3,669.45 = 2,103.74/x
  3. Step 3: Cross multiply
    2,663.46x = 3,669.45 × 2,103.74
  4. Step 4: Simplify right side
    2,663.46x = 7,719,550.40
  5. Step 5: Solve for x
    x = 7,719,550.40/2,663.46
  6. Step 6: Final answer
    x = 2,898.32

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1.5x scale

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.