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Finding the Fourth Proportional to 7,920.47, 11,888.51 and 5,834.63

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Solution

The fourth proportional to 7,920.47, 11,888.51 and 5,834.63 is: 8,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.47 : 11,888.51 = 5,834.63 : x
  2. Step 2: Convert to fraction form
    7,920.47/11,888.51 = 5,834.63/x
  3. Step 3: Cross multiply
    7,920.47x = 11,888.51 × 5,834.63
  4. Step 4: Simplify right side
    7,920.47x = 69,365,057.65
  5. Step 5: Solve for x
    x = 69,365,057.65/7,920.47
  6. Step 6: Final answer
    x = 8,757.69

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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.