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Finding the Fourth Proportional to 2,790.64, 3,842.60 and 2,417.64

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Solution

The fourth proportional to 2,790.64, 3,842.60 and 2,417.64 is: 3,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.64 : 3,842.60 = 2,417.64 : x
  2. Step 2: Convert to fraction form
    2,790.64/3,842.60 = 2,417.64/x
  3. Step 3: Cross multiply
    2,790.64x = 3,842.60 × 2,417.64
  4. Step 4: Simplify right side
    2,790.64x = 9,290,023.46
  5. Step 5: Solve for x
    x = 9,290,023.46/2,790.64
  6. Step 6: Final answer
    x = 3,328.99

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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.