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Finding the Fourth Proportional to 10,566, 15,850.08 and 3,640.50

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Solution

The fourth proportional to 10,566, 15,850.08 and 3,640.50 is: 5,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566 : 15,850.08 = 3,640.50 : x
  2. Step 2: Convert to fraction form
    10,566/15,850.08 = 3,640.50/x
  3. Step 3: Cross multiply
    10,566x = 15,850.08 × 3,640.50
  4. Step 4: Simplify right side
    10,566x = 57,702,216.24
  5. Step 5: Solve for x
    x = 57,702,216.24/10,566
  6. Step 6: Final answer
    x = 5,461.12

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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.