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Finding the Fourth Proportional to 6,643.70, 9,166.62 and 4,283

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Solution

The fourth proportional to 6,643.70, 9,166.62 and 4,283 is: 5,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.70 : 9,166.62 = 4,283 : x
  2. Step 2: Convert to fraction form
    6,643.70/9,166.62 = 4,283/x
  3. Step 3: Cross multiply
    6,643.70x = 9,166.62 × 4,283
  4. Step 4: Simplify right side
    6,643.70x = 39,260,633.46
  5. Step 5: Solve for x
    x = 39,260,633.46/6,643.70
  6. Step 6: Final answer
    x = 5,909.45

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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.