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Finding the Fourth Proportional to 7,807.32, 10,819.26 and 7,659.63

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Solution

The fourth proportional to 7,807.32, 10,819.26 and 7,659.63 is: 10,614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.32 : 10,819.26 = 7,659.63 : x
  2. Step 2: Convert to fraction form
    7,807.32/10,819.26 = 7,659.63/x
  3. Step 3: Cross multiply
    7,807.32x = 10,819.26 × 7,659.63
  4. Step 4: Simplify right side
    7,807.32x = 82,871,528.47
  5. Step 5: Solve for x
    x = 82,871,528.47/7,807.32
  6. Step 6: Final answer
    x = 10,614.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.