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Finding the Fourth Proportional to 2,859.64, 4,290 and 1,216.18

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Solution

The fourth proportional to 2,859.64, 4,290 and 1,216.18 is: 1,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.64 : 4,290 = 1,216.18 : x
  2. Step 2: Convert to fraction form
    2,859.64/4,290 = 1,216.18/x
  3. Step 3: Cross multiply
    2,859.64x = 4,290 × 1,216.18
  4. Step 4: Simplify right side
    2,859.64x = 5,217,412.20
  5. Step 5: Solve for x
    x = 5,217,412.20/2,859.64
  6. Step 6: Final answer
    x = 1,824.50

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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.