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Finding the Fourth Proportional to 1,931.95, 2,898.03 and 945.68

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Solution

The fourth proportional to 1,931.95, 2,898.03 and 945.68 is: 1,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.95 : 2,898.03 = 945.68 : x
  2. Step 2: Convert to fraction form
    1,931.95/2,898.03 = 945.68/x
  3. Step 3: Cross multiply
    1,931.95x = 2,898.03 × 945.68
  4. Step 4: Simplify right side
    1,931.95x = 2,740,592.75
  5. Step 5: Solve for x
    x = 2,740,592.75/1,931.95
  6. Step 6: Final answer
    x = 1,418.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.