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Finding the Fourth Proportional to 2,473.35, 3,710.49 and 807.90

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Solution

The fourth proportional to 2,473.35, 3,710.49 and 807.90 is: 1,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.35 : 3,710.49 = 807.90 : x
  2. Step 2: Convert to fraction form
    2,473.35/3,710.49 = 807.90/x
  3. Step 3: Cross multiply
    2,473.35x = 3,710.49 × 807.90
  4. Step 4: Simplify right side
    2,473.35x = 2,997,704.87
  5. Step 5: Solve for x
    x = 2,997,704.87/2,473.35
  6. Step 6: Final answer
    x = 1,212.00

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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.