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Finding the Fourth Proportional to 2,937.28, 4,405.95 and 989.49

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Solution

The fourth proportional to 2,937.28, 4,405.95 and 989.49 is: 1,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.28 : 4,405.95 = 989.49 : x
  2. Step 2: Convert to fraction form
    2,937.28/4,405.95 = 989.49/x
  3. Step 3: Cross multiply
    2,937.28x = 4,405.95 × 989.49
  4. Step 4: Simplify right side
    2,937.28x = 4,359,643.47
  5. Step 5: Solve for x
    x = 4,359,643.47/2,937.28
  6. Step 6: Final answer
    x = 1,484.25

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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.