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Finding the Fourth Proportional to 1,312.38, 1,965.87 and 947.90

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Solution

The fourth proportional to 1,312.38, 1,965.87 and 947.90 is: 1,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.38 : 1,965.87 = 947.90 : x
  2. Step 2: Convert to fraction form
    1,312.38/1,965.87 = 947.90/x
  3. Step 3: Cross multiply
    1,312.38x = 1,965.87 × 947.90
  4. Step 4: Simplify right side
    1,312.38x = 1,863,448.17
  5. Step 5: Solve for x
    x = 1,863,448.17/1,312.38
  6. Step 6: Final answer
    x = 1,419.90

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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.