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Finding the Fourth Proportional to 2,903.76, 4,006.80 and 1,857.24

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Solution

The fourth proportional to 2,903.76, 4,006.80 and 1,857.24 is: 2,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.76 : 4,006.80 = 1,857.24 : x
  2. Step 2: Convert to fraction form
    2,903.76/4,006.80 = 1,857.24/x
  3. Step 3: Cross multiply
    2,903.76x = 4,006.80 × 1,857.24
  4. Step 4: Simplify right side
    2,903.76x = 7,441,589.23
  5. Step 5: Solve for x
    x = 7,441,589.23/2,903.76
  6. Step 6: Final answer
    x = 2,562.74

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1.5x scale

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.