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Finding the Fourth Proportional to 6,692.40, 10,046.70 and 6,643.80

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Solution

The fourth proportional to 6,692.40, 10,046.70 and 6,643.80 is: 9,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.40 : 10,046.70 = 6,643.80 : x
  2. Step 2: Convert to fraction form
    6,692.40/10,046.70 = 6,643.80/x
  3. Step 3: Cross multiply
    6,692.40x = 10,046.70 × 6,643.80
  4. Step 4: Simplify right side
    6,692.40x = 66,748,265.46
  5. Step 5: Solve for x
    x = 66,748,265.46/6,692.40
  6. Step 6: Final answer
    x = 9,973.74

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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.