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Finding the Fourth Proportional to 6,646.46, 9,967.35 and 3,643.89

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Solution

The fourth proportional to 6,646.46, 9,967.35 and 3,643.89 is: 5,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.46 : 9,967.35 = 3,643.89 : x
  2. Step 2: Convert to fraction form
    6,646.46/9,967.35 = 3,643.89/x
  3. Step 3: Cross multiply
    6,646.46x = 9,967.35 × 3,643.89
  4. Step 4: Simplify right side
    6,646.46x = 36,319,903.28
  5. Step 5: Solve for x
    x = 36,319,903.28/6,646.46
  6. Step 6: Final answer
    x = 5,464.55

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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.