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Finding the Fourth Proportional to 2,666.82, 3,994.74 and 2,359.47

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Solution

The fourth proportional to 2,666.82, 3,994.74 and 2,359.47 is: 3,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.82 : 3,994.74 = 2,359.47 : x
  2. Step 2: Convert to fraction form
    2,666.82/3,994.74 = 2,359.47/x
  3. Step 3: Cross multiply
    2,666.82x = 3,994.74 × 2,359.47
  4. Step 4: Simplify right side
    2,666.82x = 9,425,469.19
  5. Step 5: Solve for x
    x = 9,425,469.19/2,666.82
  6. Step 6: Final answer
    x = 3,534.35

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1.5x scale

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.