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Finding the Fourth Proportional to 10,751.91, 14,842.64 and 7,172.82

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Solution

The fourth proportional to 10,751.91, 14,842.64 and 7,172.82 is: 9,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.91 : 14,842.64 = 7,172.82 : x
  2. Step 2: Convert to fraction form
    10,751.91/14,842.64 = 7,172.82/x
  3. Step 3: Cross multiply
    10,751.91x = 14,842.64 × 7,172.82
  4. Step 4: Simplify right side
    10,751.91x = 106,463,549.18
  5. Step 5: Solve for x
    x = 106,463,549.18/10,751.91
  6. Step 6: Final answer
    x = 9,901.83

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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.