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Finding the Fourth Proportional to 6,657.62, 9,191.04 and 5,162.18

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Solution

The fourth proportional to 6,657.62, 9,191.04 and 5,162.18 is: 7,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.62 : 9,191.04 = 5,162.18 : x
  2. Step 2: Convert to fraction form
    6,657.62/9,191.04 = 5,162.18/x
  3. Step 3: Cross multiply
    6,657.62x = 9,191.04 × 5,162.18
  4. Step 4: Simplify right side
    6,657.62x = 47,445,802.87
  5. Step 5: Solve for x
    x = 47,445,802.87/6,657.62
  6. Step 6: Final answer
    x = 7,126.54

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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.