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Finding the Fourth Proportional to 7,821.77, 11,732.65 and 2,888.87

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Solution

The fourth proportional to 7,821.77, 11,732.65 and 2,888.87 is: 4,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.77 : 11,732.65 = 2,888.87 : x
  2. Step 2: Convert to fraction form
    7,821.77/11,732.65 = 2,888.87/x
  3. Step 3: Cross multiply
    7,821.77x = 11,732.65 × 2,888.87
  4. Step 4: Simplify right side
    7,821.77x = 33,894,034.72
  5. Step 5: Solve for x
    x = 33,894,034.72/7,821.77
  6. Step 6: Final answer
    x = 4,333.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.