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Finding the Fourth Proportional to 51,871, 71,586.84 and 29,515

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Solution

The fourth proportional to 51,871, 71,586.84 and 29,515 is: 40,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,871 : 71,586.84 = 29,515 : x
  2. Step 2: Convert to fraction form
    51,871/71,586.84 = 29,515/x
  3. Step 3: Cross multiply
    51,871x = 71,586.84 × 29,515
  4. Step 4: Simplify right side
    51,871x = 2,112,885,582.60
  5. Step 5: Solve for x
    x = 2,112,885,582.60/51,871
  6. Step 6: Final answer
    x = 40,733.47

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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.