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Finding the Fourth Proportional to 7,966.95, 10,988.62 and 6,143.23

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Solution

The fourth proportional to 7,966.95, 10,988.62 and 6,143.23 is: 8,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.95 : 10,988.62 = 6,143.23 : x
  2. Step 2: Convert to fraction form
    7,966.95/10,988.62 = 6,143.23/x
  3. Step 3: Cross multiply
    7,966.95x = 10,988.62 × 6,143.23
  4. Step 4: Simplify right side
    7,966.95x = 67,505,620.04
  5. Step 5: Solve for x
    x = 67,505,620.04/7,966.95
  6. Step 6: Final answer
    x = 8,473.21

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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.