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Finding the Fourth Proportional to 2,974.79, 4,105.62 and 1,715.92

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Solution

The fourth proportional to 2,974.79, 4,105.62 and 1,715.92 is: 2,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.79 : 4,105.62 = 1,715.92 : x
  2. Step 2: Convert to fraction form
    2,974.79/4,105.62 = 1,715.92/x
  3. Step 3: Cross multiply
    2,974.79x = 4,105.62 × 1,715.92
  4. Step 4: Simplify right side
    2,974.79x = 7,044,905.21
  5. Step 5: Solve for x
    x = 7,044,905.21/2,974.79
  6. Step 6: Final answer
    x = 2,368.20

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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.