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Finding the Fourth Proportional to 7,876.32, 10,865.84 and 5,224.16

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Solution

The fourth proportional to 7,876.32, 10,865.84 and 5,224.16 is: 7,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.32 : 10,865.84 = 5,224.16 : x
  2. Step 2: Convert to fraction form
    7,876.32/10,865.84 = 5,224.16/x
  3. Step 3: Cross multiply
    7,876.32x = 10,865.84 × 5,224.16
  4. Step 4: Simplify right side
    7,876.32x = 56,764,886.69
  5. Step 5: Solve for x
    x = 56,764,886.69/7,876.32
  6. Step 6: Final answer
    x = 7,207.03

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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.