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Finding the Fourth Proportional to 2,951.95, 4,071.58 and 1,903

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Solution

The fourth proportional to 2,951.95, 4,071.58 and 1,903 is: 2,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.95 : 4,071.58 = 1,903 : x
  2. Step 2: Convert to fraction form
    2,951.95/4,071.58 = 1,903/x
  3. Step 3: Cross multiply
    2,951.95x = 4,071.58 × 1,903
  4. Step 4: Simplify right side
    2,951.95x = 7,748,216.74
  5. Step 5: Solve for x
    x = 7,748,216.74/2,951.95
  6. Step 6: Final answer
    x = 2,624.78

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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.