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Finding the Fourth Proportional to 6,624, 9,140.78 and 3,970.90

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Solution

The fourth proportional to 6,624, 9,140.78 and 3,970.90 is: 5,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624 : 9,140.78 = 3,970.90 : x
  2. Step 2: Convert to fraction form
    6,624/9,140.78 = 3,970.90/x
  3. Step 3: Cross multiply
    6,624x = 9,140.78 × 3,970.90
  4. Step 4: Simplify right side
    6,624x = 36,297,123.30
  5. Step 5: Solve for x
    x = 36,297,123.30/6,624
  6. Step 6: Final answer
    x = 5,479.64

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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.