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Finding the Fourth Proportional to 2,838.84, 4,259.16 and 891.24

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Solution

The fourth proportional to 2,838.84, 4,259.16 and 891.24 is: 1,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.84 : 4,259.16 = 891.24 : x
  2. Step 2: Convert to fraction form
    2,838.84/4,259.16 = 891.24/x
  3. Step 3: Cross multiply
    2,838.84x = 4,259.16 × 891.24
  4. Step 4: Simplify right side
    2,838.84x = 3,795,933.76
  5. Step 5: Solve for x
    x = 3,795,933.76/2,838.84
  6. Step 6: Final answer
    x = 1,337.14

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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.