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Finding the Fourth Proportional to 7,051.46, 10,577.46 and 2,121.80

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Solution

The fourth proportional to 7,051.46, 10,577.46 and 2,121.80 is: 3,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.46 : 10,577.46 = 2,121.80 : x
  2. Step 2: Convert to fraction form
    7,051.46/10,577.46 = 2,121.80/x
  3. Step 3: Cross multiply
    7,051.46x = 10,577.46 × 2,121.80
  4. Step 4: Simplify right side
    7,051.46x = 22,443,254.63
  5. Step 5: Solve for x
    x = 22,443,254.63/7,051.46
  6. Step 6: Final answer
    x = 3,182.78

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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.