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Finding the Fourth Proportional to 7,117.26, 9,822 and 3,973.68

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Solution

The fourth proportional to 7,117.26, 9,822 and 3,973.68 is: 5,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.26 : 9,822 = 3,973.68 : x
  2. Step 2: Convert to fraction form
    7,117.26/9,822 = 3,973.68/x
  3. Step 3: Cross multiply
    7,117.26x = 9,822 × 3,973.68
  4. Step 4: Simplify right side
    7,117.26x = 39,029,484.96
  5. Step 5: Solve for x
    x = 39,029,484.96/7,117.26
  6. Step 6: Final answer
    x = 5,483.78

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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.