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Finding the Fourth Proportional to 7,920.29, 10,928.90 and 4,562.84

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Solution

The fourth proportional to 7,920.29, 10,928.90 and 4,562.84 is: 6,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.29 : 10,928.90 = 4,562.84 : x
  2. Step 2: Convert to fraction form
    7,920.29/10,928.90 = 4,562.84/x
  3. Step 3: Cross multiply
    7,920.29x = 10,928.90 × 4,562.84
  4. Step 4: Simplify right side
    7,920.29x = 49,866,778.84
  5. Step 5: Solve for x
    x = 49,866,778.84/7,920.29
  6. Step 6: Final answer
    x = 6,296.08

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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.