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Finding the Fourth Proportional to 51,812.84, 71,500.18 and 31,407

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Solution

The fourth proportional to 51,812.84, 71,500.18 and 31,407 is: 43,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812.84 : 71,500.18 = 31,407 : x
  2. Step 2: Convert to fraction form
    51,812.84/71,500.18 = 31,407/x
  3. Step 3: Cross multiply
    51,812.84x = 71,500.18 × 31,407
  4. Step 4: Simplify right side
    51,812.84x = 2,245,606,153.26
  5. Step 5: Solve for x
    x = 2,245,606,153.26/51,812.84
  6. Step 6: Final answer
    x = 43,340.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.