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Finding the Fourth Proportional to 2,402.40, 3,607.20 and 1,855.20

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Solution

The fourth proportional to 2,402.40, 3,607.20 and 1,855.20 is: 2,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.40 : 3,607.20 = 1,855.20 : x
  2. Step 2: Convert to fraction form
    2,402.40/3,607.20 = 1,855.20/x
  3. Step 3: Cross multiply
    2,402.40x = 3,607.20 × 1,855.20
  4. Step 4: Simplify right side
    2,402.40x = 6,692,077.44
  5. Step 5: Solve for x
    x = 6,692,077.44/2,402.40
  6. Step 6: Final answer
    x = 2,785.58

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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.