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Finding the Fourth Proportional to 2,165.48, 2,987.46 and 1,337

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Solution

The fourth proportional to 2,165.48, 2,987.46 and 1,337 is: 1,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.48 : 2,987.46 = 1,337 : x
  2. Step 2: Convert to fraction form
    2,165.48/2,987.46 = 1,337/x
  3. Step 3: Cross multiply
    2,165.48x = 2,987.46 × 1,337
  4. Step 4: Simplify right side
    2,165.48x = 3,994,234.02
  5. Step 5: Solve for x
    x = 3,994,234.02/2,165.48
  6. Step 6: Final answer
    x = 1,844.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.