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Finding the Fourth Proportional to 6,659.76, 9,123.74 and 6,410.48

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Solution

The fourth proportional to 6,659.76, 9,123.74 and 6,410.48 is: 8,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.76 : 9,123.74 = 6,410.48 : x
  2. Step 2: Convert to fraction form
    6,659.76/9,123.74 = 6,410.48/x
  3. Step 3: Cross multiply
    6,659.76x = 9,123.74 × 6,410.48
  4. Step 4: Simplify right side
    6,659.76x = 58,487,543.55
  5. Step 5: Solve for x
    x = 58,487,543.55/6,659.76
  6. Step 6: Final answer
    x = 8,782.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.