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Finding the Fourth Proportional to 7,214.91, 9,963.32 and 5,309.79

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Solution

The fourth proportional to 7,214.91, 9,963.32 and 5,309.79 is: 7,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.91 : 9,963.32 = 5,309.79 : x
  2. Step 2: Convert to fraction form
    7,214.91/9,963.32 = 5,309.79/x
  3. Step 3: Cross multiply
    7,214.91x = 9,963.32 × 5,309.79
  4. Step 4: Simplify right side
    7,214.91x = 52,903,110.35
  5. Step 5: Solve for x
    x = 52,903,110.35/7,214.91
  6. Step 6: Final answer
    x = 7,332.47

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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.