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Finding the Fourth Proportional to 7,117.92, 9,821.98 and 4,133.17

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Solution

The fourth proportional to 7,117.92, 9,821.98 and 4,133.17 is: 5,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.92 : 9,821.98 = 4,133.17 : x
  2. Step 2: Convert to fraction form
    7,117.92/9,821.98 = 4,133.17/x
  3. Step 3: Cross multiply
    7,117.92x = 9,821.98 × 4,133.17
  4. Step 4: Simplify right side
    7,117.92x = 40,595,930.52
  5. Step 5: Solve for x
    x = 40,595,930.52/7,117.92
  6. Step 6: Final answer
    x = 5,703.34

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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.