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Finding the Fourth Proportional to 2,482.34, 3,721.14 and 921.92

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Solution

The fourth proportional to 2,482.34, 3,721.14 and 921.92 is: 1,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.34 : 3,721.14 = 921.92 : x
  2. Step 2: Convert to fraction form
    2,482.34/3,721.14 = 921.92/x
  3. Step 3: Cross multiply
    2,482.34x = 3,721.14 × 921.92
  4. Step 4: Simplify right side
    2,482.34x = 3,430,602.69
  5. Step 5: Solve for x
    x = 3,430,602.69/2,482.34
  6. Step 6: Final answer
    x = 1,382.01

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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.