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Finding the Fourth Proportional to 2,347.28, 3,520.88 and 703.84

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Solution

The fourth proportional to 2,347.28, 3,520.88 and 703.84 is: 1,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.28 : 3,520.88 = 703.84 : x
  2. Step 2: Convert to fraction form
    2,347.28/3,520.88 = 703.84/x
  3. Step 3: Cross multiply
    2,347.28x = 3,520.88 × 703.84
  4. Step 4: Simplify right side
    2,347.28x = 2,478,136.18
  5. Step 5: Solve for x
    x = 2,478,136.18/2,347.28
  6. Step 6: Final answer
    x = 1,055.75

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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.