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Finding the Fourth Proportional to 51,489.54, 71,056.98 and 28,827.90

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Solution

The fourth proportional to 51,489.54, 71,056.98 and 28,827.90 is: 39,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489.54 : 71,056.98 = 28,827.90 : x
  2. Step 2: Convert to fraction form
    51,489.54/71,056.98 = 28,827.90/x
  3. Step 3: Cross multiply
    51,489.54x = 71,056.98 × 28,827.90
  4. Step 4: Simplify right side
    51,489.54x = 2,048,423,513.74
  5. Step 5: Solve for x
    x = 2,048,423,513.74/51,489.54
  6. Step 6: Final answer
    x = 39,783.29

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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.