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Finding the Fourth Proportional to 1,235.36, 1,855.20 and 962.12

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Solution

The fourth proportional to 1,235.36, 1,855.20 and 962.12 is: 1,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.36 : 1,855.20 = 962.12 : x
  2. Step 2: Convert to fraction form
    1,235.36/1,855.20 = 962.12/x
  3. Step 3: Cross multiply
    1,235.36x = 1,855.20 × 962.12
  4. Step 4: Simplify right side
    1,235.36x = 1,784,925.02
  5. Step 5: Solve for x
    x = 1,784,925.02/1,235.36
  6. Step 6: Final answer
    x = 1,444.86

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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.