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Finding the Fourth Proportional to 9,920.92, 14,866.50 and 5,751.16

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Solution

The fourth proportional to 9,920.92, 14,866.50 and 5,751.16 is: 8,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.92 : 14,866.50 = 5,751.16 : x
  2. Step 2: Convert to fraction form
    9,920.92/14,866.50 = 5,751.16/x
  3. Step 3: Cross multiply
    9,920.92x = 14,866.50 × 5,751.16
  4. Step 4: Simplify right side
    9,920.92x = 85,499,620.14
  5. Step 5: Solve for x
    x = 85,499,620.14/9,920.92
  6. Step 6: Final answer
    x = 8,618.11

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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.