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Finding the Fourth Proportional to 2,989.84, 4,125.12 and 1,871.88

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Solution

The fourth proportional to 2,989.84, 4,125.12 and 1,871.88 is: 2,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.84 : 4,125.12 = 1,871.88 : x
  2. Step 2: Convert to fraction form
    2,989.84/4,125.12 = 1,871.88/x
  3. Step 3: Cross multiply
    2,989.84x = 4,125.12 × 1,871.88
  4. Step 4: Simplify right side
    2,989.84x = 7,721,729.63
  5. Step 5: Solve for x
    x = 7,721,729.63/2,989.84
  6. Step 6: Final answer
    x = 2,582.66

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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.