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Finding the Fourth Proportional to 2,903.64, 4,006.62 and 1,708.68

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Solution

The fourth proportional to 2,903.64, 4,006.62 and 1,708.68 is: 2,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.64 : 4,006.62 = 1,708.68 : x
  2. Step 2: Convert to fraction form
    2,903.64/4,006.62 = 1,708.68/x
  3. Step 3: Cross multiply
    2,903.64x = 4,006.62 × 1,708.68
  4. Step 4: Simplify right side
    2,903.64x = 6,846,031.46
  5. Step 5: Solve for x
    x = 6,846,031.46/2,903.64
  6. Step 6: Final answer
    x = 2,357.74

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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.