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Finding the Fourth Proportional to 7,066.80, 9,752.76 and 3,924

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Solution

The fourth proportional to 7,066.80, 9,752.76 and 3,924 is: 5,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.80 : 9,752.76 = 3,924 : x
  2. Step 2: Convert to fraction form
    7,066.80/9,752.76 = 3,924/x
  3. Step 3: Cross multiply
    7,066.80x = 9,752.76 × 3,924
  4. Step 4: Simplify right side
    7,066.80x = 38,269,830.24
  5. Step 5: Solve for x
    x = 38,269,830.24/7,066.80
  6. Step 6: Final answer
    x = 5,415.44

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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.