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Finding the Fourth Proportional to 2,708.96, 4,068.90 and 1,615.46

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Solution

The fourth proportional to 2,708.96, 4,068.90 and 1,615.46 is: 2,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.96 : 4,068.90 = 1,615.46 : x
  2. Step 2: Convert to fraction form
    2,708.96/4,068.90 = 1,615.46/x
  3. Step 3: Cross multiply
    2,708.96x = 4,068.90 × 1,615.46
  4. Step 4: Simplify right side
    2,708.96x = 6,573,145.19
  5. Step 5: Solve for x
    x = 6,573,145.19/2,708.96
  6. Step 6: Final answer
    x = 2,426.45

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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.