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Finding the Fourth Proportional to 7,117.66, 9,821.68 and 4,881.46

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Solution

The fourth proportional to 7,117.66, 9,821.68 and 4,881.46 is: 6,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.66 : 9,821.68 = 4,881.46 : x
  2. Step 2: Convert to fraction form
    7,117.66/9,821.68 = 4,881.46/x
  3. Step 3: Cross multiply
    7,117.66x = 9,821.68 × 4,881.46
  4. Step 4: Simplify right side
    7,117.66x = 47,944,138.05
  5. Step 5: Solve for x
    x = 47,944,138.05/7,117.66
  6. Step 6: Final answer
    x = 6,735.94

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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.