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Finding the Fourth Proportional to 3,574, 4,932.12 and 2,332

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Solution

The fourth proportional to 3,574, 4,932.12 and 2,332 is: 3,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574 : 4,932.12 = 2,332 : x
  2. Step 2: Convert to fraction form
    3,574/4,932.12 = 2,332/x
  3. Step 3: Cross multiply
    3,574x = 4,932.12 × 2,332
  4. Step 4: Simplify right side
    3,574x = 11,501,703.84
  5. Step 5: Solve for x
    x = 11,501,703.84/3,574
  6. Step 6: Final answer
    x = 3,218.16

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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.