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Finding the Fourth Proportional to 1,431.02, 1,974.12 and 933.74

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Solution

The fourth proportional to 1,431.02, 1,974.12 and 933.74 is: 1,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.02 : 1,974.12 = 933.74 : x
  2. Step 2: Convert to fraction form
    1,431.02/1,974.12 = 933.74/x
  3. Step 3: Cross multiply
    1,431.02x = 1,974.12 × 933.74
  4. Step 4: Simplify right side
    1,431.02x = 1,843,314.81
  5. Step 5: Solve for x
    x = 1,843,314.81/1,431.02
  6. Step 6: Final answer
    x = 1,288.11

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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.