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Finding the Fourth Proportional to 7,901.68, 11,912.48 and 7,478.32

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Solution

The fourth proportional to 7,901.68, 11,912.48 and 7,478.32 is: 11,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.68 : 11,912.48 = 7,478.32 : x
  2. Step 2: Convert to fraction form
    7,901.68/11,912.48 = 7,478.32/x
  3. Step 3: Cross multiply
    7,901.68x = 11,912.48 × 7,478.32
  4. Step 4: Simplify right side
    7,901.68x = 89,085,337.43
  5. Step 5: Solve for x
    x = 89,085,337.43/7,901.68
  6. Step 6: Final answer
    x = 11,274.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.