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Finding the Fourth Proportional to 2,368.71, 3,552.71 and 808.76

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Solution

The fourth proportional to 2,368.71, 3,552.71 and 808.76 is: 1,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.71 : 3,552.71 = 808.76 : x
  2. Step 2: Convert to fraction form
    2,368.71/3,552.71 = 808.76/x
  3. Step 3: Cross multiply
    2,368.71x = 3,552.71 × 808.76
  4. Step 4: Simplify right side
    2,368.71x = 2,873,267.93
  5. Step 5: Solve for x
    x = 2,873,267.93/2,368.71
  6. Step 6: Final answer
    x = 1,213.01

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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.