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Finding the Fourth Proportional to 51,448.65, 71,000.60 and 28,788.50

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Solution

The fourth proportional to 51,448.65, 71,000.60 and 28,788.50 is: 39,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,448.65 : 71,000.60 = 28,788.50 : x
  2. Step 2: Convert to fraction form
    51,448.65/71,000.60 = 28,788.50/x
  3. Step 3: Cross multiply
    51,448.65x = 71,000.60 × 28,788.50
  4. Step 4: Simplify right side
    51,448.65x = 2,044,000,274.15
  5. Step 5: Solve for x
    x = 2,044,000,274.15/51,448.65
  6. Step 6: Final answer
    x = 39,728.94

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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.