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Finding the Fourth Proportional to 1,966.82, 2,950.25 and 1,575

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Solution

The fourth proportional to 1,966.82, 2,950.25 and 1,575 is: 2,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.82 : 2,950.25 = 1,575 : x
  2. Step 2: Convert to fraction form
    1,966.82/2,950.25 = 1,575/x
  3. Step 3: Cross multiply
    1,966.82x = 2,950.25 × 1,575
  4. Step 4: Simplify right side
    1,966.82x = 4,646,635.88
  5. Step 5: Solve for x
    x = 4,646,635.88/1,966.82
  6. Step 6: Final answer
    x = 2,362.52

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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.