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Finding the Fourth Proportional to 2,523.48, 3,784.20 and 962.94

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Solution

The fourth proportional to 2,523.48, 3,784.20 and 962.94 is: 1,444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.48 : 3,784.20 = 962.94 : x
  2. Step 2: Convert to fraction form
    2,523.48/3,784.20 = 962.94/x
  3. Step 3: Cross multiply
    2,523.48x = 3,784.20 × 962.94
  4. Step 4: Simplify right side
    2,523.48x = 3,643,957.55
  5. Step 5: Solve for x
    x = 3,643,957.55/2,523.48
  6. Step 6: Final answer
    x = 1,444.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.