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Finding the Fourth Proportional to 4,000.64, 5,515.98 and 3,290

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Solution

The fourth proportional to 4,000.64, 5,515.98 and 3,290 is: 4,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.64 : 5,515.98 = 3,290 : x
  2. Step 2: Convert to fraction form
    4,000.64/5,515.98 = 3,290/x
  3. Step 3: Cross multiply
    4,000.64x = 5,515.98 × 3,290
  4. Step 4: Simplify right side
    4,000.64x = 18,147,574.20
  5. Step 5: Solve for x
    x = 18,147,574.20/4,000.64
  6. Step 6: Final answer
    x = 4,536.17

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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.