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Finding the Fourth Proportional to 2,654.13, 3,663.06 and 1,815.69

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Solution

The fourth proportional to 2,654.13, 3,663.06 and 1,815.69 is: 2,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.13 : 3,663.06 = 1,815.69 : x
  2. Step 2: Convert to fraction form
    2,654.13/3,663.06 = 1,815.69/x
  3. Step 3: Cross multiply
    2,654.13x = 3,663.06 × 1,815.69
  4. Step 4: Simplify right side
    2,654.13x = 6,650,981.41
  5. Step 5: Solve for x
    x = 6,650,981.41/2,654.13
  6. Step 6: Final answer
    x = 2,505.90

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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.