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Finding the Fourth Proportional to 1,815.54, 2,720.79 and 948.12

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Solution

The fourth proportional to 1,815.54, 2,720.79 and 948.12 is: 1,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.54 : 2,720.79 = 948.12 : x
  2. Step 2: Convert to fraction form
    1,815.54/2,720.79 = 948.12/x
  3. Step 3: Cross multiply
    1,815.54x = 2,720.79 × 948.12
  4. Step 4: Simplify right side
    1,815.54x = 2,579,635.41
  5. Step 5: Solve for x
    x = 2,579,635.41/1,815.54
  6. Step 6: Final answer
    x = 1,420.86

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1.5x scale

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.