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Finding the Fourth Proportional to 2,355.71, 3,531.40 and 815.63

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Solution

The fourth proportional to 2,355.71, 3,531.40 and 815.63 is: 1,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.71 : 3,531.40 = 815.63 : x
  2. Step 2: Convert to fraction form
    2,355.71/3,531.40 = 815.63/x
  3. Step 3: Cross multiply
    2,355.71x = 3,531.40 × 815.63
  4. Step 4: Simplify right side
    2,355.71x = 2,880,296.09
  5. Step 5: Solve for x
    x = 2,880,296.09/2,355.71
  6. Step 6: Final answer
    x = 1,222.69

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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.