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Finding the Fourth Proportional to 6,854.55, 10,281.73 and 1,660.47

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Solution

The fourth proportional to 6,854.55, 10,281.73 and 1,660.47 is: 2,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.55 : 10,281.73 = 1,660.47 : x
  2. Step 2: Convert to fraction form
    6,854.55/10,281.73 = 1,660.47/x
  3. Step 3: Cross multiply
    6,854.55x = 10,281.73 × 1,660.47
  4. Step 4: Simplify right side
    6,854.55x = 17,072,504.21
  5. Step 5: Solve for x
    x = 17,072,504.21/6,854.55
  6. Step 6: Final answer
    x = 2,490.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.