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Finding the Fourth Proportional to 3,001.71, 4,502.64 and 810.45

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Solution

The fourth proportional to 3,001.71, 4,502.64 and 810.45 is: 1,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.71 : 4,502.64 = 810.45 : x
  2. Step 2: Convert to fraction form
    3,001.71/4,502.64 = 810.45/x
  3. Step 3: Cross multiply
    3,001.71x = 4,502.64 × 810.45
  4. Step 4: Simplify right side
    3,001.71x = 3,649,164.59
  5. Step 5: Solve for x
    x = 3,649,164.59/3,001.71
  6. Step 6: Final answer
    x = 1,215.70

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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.