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Finding the Fourth Proportional to 9,051.68, 12,491.16 and 5,072.78

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Solution

The fourth proportional to 9,051.68, 12,491.16 and 5,072.78 is: 7,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.68 : 12,491.16 = 5,072.78 : x
  2. Step 2: Convert to fraction form
    9,051.68/12,491.16 = 5,072.78/x
  3. Step 3: Cross multiply
    9,051.68x = 12,491.16 × 5,072.78
  4. Step 4: Simplify right side
    9,051.68x = 63,364,906.62
  5. Step 5: Solve for x
    x = 63,364,906.62/9,051.68
  6. Step 6: Final answer
    x = 7,000.35

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1.5x scale

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.