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Finding the Fourth Proportional to 1,651.48, 2,476.02 and 1,002.10

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Solution

The fourth proportional to 1,651.48, 2,476.02 and 1,002.10 is: 1,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.48 : 2,476.02 = 1,002.10 : x
  2. Step 2: Convert to fraction form
    1,651.48/2,476.02 = 1,002.10/x
  3. Step 3: Cross multiply
    1,651.48x = 2,476.02 × 1,002.10
  4. Step 4: Simplify right side
    1,651.48x = 2,481,219.64
  5. Step 5: Solve for x
    x = 2,481,219.64/1,651.48
  6. Step 6: Final answer
    x = 1,502.42

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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.