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Finding the Fourth Proportional to 6,616.07, 9,924.12 and 1,685.70

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Solution

The fourth proportional to 6,616.07, 9,924.12 and 1,685.70 is: 2,528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.07 : 9,924.12 = 1,685.70 : x
  2. Step 2: Convert to fraction form
    6,616.07/9,924.12 = 1,685.70/x
  3. Step 3: Cross multiply
    6,616.07x = 9,924.12 × 1,685.70
  4. Step 4: Simplify right side
    6,616.07x = 16,729,089.08
  5. Step 5: Solve for x
    x = 16,729,089.08/6,616.07
  6. Step 6: Final answer
    x = 2,528.56

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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.