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Finding the Fourth Proportional to 7,920.75, 10,930.64 and 4,384.50

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Solution

The fourth proportional to 7,920.75, 10,930.64 and 4,384.50 is: 6,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.75 : 10,930.64 = 4,384.50 : x
  2. Step 2: Convert to fraction form
    7,920.75/10,930.64 = 4,384.50/x
  3. Step 3: Cross multiply
    7,920.75x = 10,930.64 × 4,384.50
  4. Step 4: Simplify right side
    7,920.75x = 47,925,369.16
  5. Step 5: Solve for x
    x = 47,925,369.16/7,920.75
  6. Step 6: Final answer
    x = 6,050.61

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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.