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Finding the Fourth Proportional to 7,841.17, 10,812.39 and 5,931.31

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Solution

The fourth proportional to 7,841.17, 10,812.39 and 5,931.31 is: 8,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.17 : 10,812.39 = 5,931.31 : x
  2. Step 2: Convert to fraction form
    7,841.17/10,812.39 = 5,931.31/x
  3. Step 3: Cross multiply
    7,841.17x = 10,812.39 × 5,931.31
  4. Step 4: Simplify right side
    7,841.17x = 64,131,636.93
  5. Step 5: Solve for x
    x = 64,131,636.93/7,841.17
  6. Step 6: Final answer
    x = 8,178.84

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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.