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Finding the Fourth Proportional to 7,154.97, 10,668.27 and 6,880.68

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Solution

The fourth proportional to 7,154.97, 10,668.27 and 6,880.68 is: 10,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.97 : 10,668.27 = 6,880.68 : x
  2. Step 2: Convert to fraction form
    7,154.97/10,668.27 = 6,880.68/x
  3. Step 3: Cross multiply
    7,154.97x = 10,668.27 × 6,880.68
  4. Step 4: Simplify right side
    7,154.97x = 73,404,977.83
  5. Step 5: Solve for x
    x = 73,404,977.83/7,154.97
  6. Step 6: Final answer
    x = 10,259.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.