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Finding the Fourth Proportional to 6,657.64, 9,968.56 and 5,335.44

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Solution

The fourth proportional to 6,657.64, 9,968.56 and 5,335.44 is: 7,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.64 : 9,968.56 = 5,335.44 : x
  2. Step 2: Convert to fraction form
    6,657.64/9,968.56 = 5,335.44/x
  3. Step 3: Cross multiply
    6,657.64x = 9,968.56 × 5,335.44
  4. Step 4: Simplify right side
    6,657.64x = 53,186,653.77
  5. Step 5: Solve for x
    x = 53,186,653.77/6,657.64
  6. Step 6: Final answer
    x = 7,988.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.