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Finding the Fourth Proportional to 2,606.87, 3,911.12 and 1,510.64

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Solution

The fourth proportional to 2,606.87, 3,911.12 and 1,510.64 is: 2,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.87 : 3,911.12 = 1,510.64 : x
  2. Step 2: Convert to fraction form
    2,606.87/3,911.12 = 1,510.64/x
  3. Step 3: Cross multiply
    2,606.87x = 3,911.12 × 1,510.64
  4. Step 4: Simplify right side
    2,606.87x = 5,908,267.21
  5. Step 5: Solve for x
    x = 5,908,267.21/2,606.87
  6. Step 6: Final answer
    x = 2,266.43

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Why These Related Problems?

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