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Finding the Fourth Proportional to 6,657.55, 9,180.86 and 5,164.93

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Solution

The fourth proportional to 6,657.55, 9,180.86 and 5,164.93 is: 7,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.55 : 9,180.86 = 5,164.93 : x
  2. Step 2: Convert to fraction form
    6,657.55/9,180.86 = 5,164.93/x
  3. Step 3: Cross multiply
    6,657.55x = 9,180.86 × 5,164.93
  4. Step 4: Simplify right side
    6,657.55x = 47,418,499.24
  5. Step 5: Solve for x
    x = 47,418,499.24/6,657.55
  6. Step 6: Final answer
    x = 7,122.51

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Double scale
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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.