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Finding the Fourth Proportional to 6,616.64, 9,927.45 and 4,148.70

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Solution

The fourth proportional to 6,616.64, 9,927.45 and 4,148.70 is: 6,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.64 : 9,927.45 = 4,148.70 : x
  2. Step 2: Convert to fraction form
    6,616.64/9,927.45 = 4,148.70/x
  3. Step 3: Cross multiply
    6,616.64x = 9,927.45 × 4,148.70
  4. Step 4: Simplify right side
    6,616.64x = 41,186,011.82
  5. Step 5: Solve for x
    x = 41,186,011.82/6,616.64
  6. Step 6: Final answer
    x = 6,224.62

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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.