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Finding the Fourth Proportional to 51,491.64, 71,041.95 and 28,827.30

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Solution

The fourth proportional to 51,491.64, 71,041.95 and 28,827.30 is: 39,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,491.64 : 71,041.95 = 28,827.30 : x
  2. Step 2: Convert to fraction form
    51,491.64/71,041.95 = 28,827.30/x
  3. Step 3: Cross multiply
    51,491.64x = 71,041.95 × 28,827.30
  4. Step 4: Simplify right side
    51,491.64x = 2,047,947,605.24
  5. Step 5: Solve for x
    x = 2,047,947,605.24/51,491.64
  6. Step 6: Final answer
    x = 39,772.43

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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.