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Finding the Fourth Proportional to 6,644.70, 9,972.45 and 6,428.70

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Solution

The fourth proportional to 6,644.70, 9,972.45 and 6,428.70 is: 9,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.70 : 9,972.45 = 6,428.70 : x
  2. Step 2: Convert to fraction form
    6,644.70/9,972.45 = 6,428.70/x
  3. Step 3: Cross multiply
    6,644.70x = 9,972.45 × 6,428.70
  4. Step 4: Simplify right side
    6,644.70x = 64,109,889.32
  5. Step 5: Solve for x
    x = 64,109,889.32/6,644.70
  6. Step 6: Final answer
    x = 9,648.27

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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.