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Finding the Fourth Proportional to 2,052.84, 3,079.32 and 592.20

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Solution

The fourth proportional to 2,052.84, 3,079.32 and 592.20 is: 888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.84 : 3,079.32 = 592.20 : x
  2. Step 2: Convert to fraction form
    2,052.84/3,079.32 = 592.20/x
  3. Step 3: Cross multiply
    2,052.84x = 3,079.32 × 592.20
  4. Step 4: Simplify right side
    2,052.84x = 1,823,573.30
  5. Step 5: Solve for x
    x = 1,823,573.30/2,052.84
  6. Step 6: Final answer
    x = 888.32

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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.