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Finding the Fourth Proportional to 4,649.97, 6,972.63 and 1,688.31

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Solution

The fourth proportional to 4,649.97, 6,972.63 and 1,688.31 is: 2,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.97 : 6,972.63 = 1,688.31 : x
  2. Step 2: Convert to fraction form
    4,649.97/6,972.63 = 1,688.31/x
  3. Step 3: Cross multiply
    4,649.97x = 6,972.63 × 1,688.31
  4. Step 4: Simplify right side
    4,649.97x = 11,771,960.96
  5. Step 5: Solve for x
    x = 11,771,960.96/4,649.97
  6. Step 6: Final answer
    x = 2,531.62

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1.5x scale

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.