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Finding the Fourth Proportional to 2,957.87, 4,082.06 and 1,715.87

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Solution

The fourth proportional to 2,957.87, 4,082.06 and 1,715.87 is: 2,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.87 : 4,082.06 = 1,715.87 : x
  2. Step 2: Convert to fraction form
    2,957.87/4,082.06 = 1,715.87/x
  3. Step 3: Cross multiply
    2,957.87x = 4,082.06 × 1,715.87
  4. Step 4: Simplify right side
    2,957.87x = 7,004,284.29
  5. Step 5: Solve for x
    x = 7,004,284.29/2,957.87
  6. Step 6: Final answer
    x = 2,368.02

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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.