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Finding the Fourth Proportional to 6,624.04, 9,140.71 and 3,640

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Solution

The fourth proportional to 6,624.04, 9,140.71 and 3,640 is: 5,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.04 : 9,140.71 = 3,640 : x
  2. Step 2: Convert to fraction form
    6,624.04/9,140.71 = 3,640/x
  3. Step 3: Cross multiply
    6,624.04x = 9,140.71 × 3,640
  4. Step 4: Simplify right side
    6,624.04x = 33,272,184.40
  5. Step 5: Solve for x
    x = 33,272,184.40/6,624.04
  6. Step 6: Final answer
    x = 5,022.94

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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.