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Finding the Fourth Proportional to 3,002.07, 4,502.50 and 810.29

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Solution

The fourth proportional to 3,002.07, 4,502.50 and 810.29 is: 1,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.07 : 4,502.50 = 810.29 : x
  2. Step 2: Convert to fraction form
    3,002.07/4,502.50 = 810.29/x
  3. Step 3: Cross multiply
    3,002.07x = 4,502.50 × 810.29
  4. Step 4: Simplify right side
    3,002.07x = 3,648,319.47
  5. Step 5: Solve for x
    x = 3,648,319.47/3,002.07
  6. Step 6: Final answer
    x = 1,215.27

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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.