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Finding the Fourth Proportional to 7,912.64, 10,920.24 and 4,376.12

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Solution

The fourth proportional to 7,912.64, 10,920.24 and 4,376.12 is: 6,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.64 : 10,920.24 = 4,376.12 : x
  2. Step 2: Convert to fraction form
    7,912.64/10,920.24 = 4,376.12/x
  3. Step 3: Cross multiply
    7,912.64x = 10,920.24 × 4,376.12
  4. Step 4: Simplify right side
    7,912.64x = 47,788,280.67
  5. Step 5: Solve for x
    x = 47,788,280.67/7,912.64
  6. Step 6: Final answer
    x = 6,039.49

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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.