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Finding the Fourth Proportional to 6,710.67, 10,066.50 and 1,780.20

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Solution

The fourth proportional to 6,710.67, 10,066.50 and 1,780.20 is: 2,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.67 : 10,066.50 = 1,780.20 : x
  2. Step 2: Convert to fraction form
    6,710.67/10,066.50 = 1,780.20/x
  3. Step 3: Cross multiply
    6,710.67x = 10,066.50 × 1,780.20
  4. Step 4: Simplify right side
    6,710.67x = 17,920,383.30
  5. Step 5: Solve for x
    x = 17,920,383.30/6,710.67
  6. Step 6: Final answer
    x = 2,670.43

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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.