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Finding the Fourth Proportional to 6,690.49, 9,224.12 and 5,756.31

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Solution

The fourth proportional to 6,690.49, 9,224.12 and 5,756.31 is: 7,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.49 : 9,224.12 = 5,756.31 : x
  2. Step 2: Convert to fraction form
    6,690.49/9,224.12 = 5,756.31/x
  3. Step 3: Cross multiply
    6,690.49x = 9,224.12 × 5,756.31
  4. Step 4: Simplify right side
    6,690.49x = 53,096,894.20
  5. Step 5: Solve for x
    x = 53,096,894.20/6,690.49
  6. Step 6: Final answer
    x = 7,936.17

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1.5x scale

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.