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Finding the Fourth Proportional to 6,854.50, 10,281.74 and 1,660.37

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Solution

The fourth proportional to 6,854.50, 10,281.74 and 1,660.37 is: 2,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.50 : 10,281.74 = 1,660.37 : x
  2. Step 2: Convert to fraction form
    6,854.50/10,281.74 = 1,660.37/x
  3. Step 3: Cross multiply
    6,854.50x = 10,281.74 × 1,660.37
  4. Step 4: Simplify right side
    6,854.50x = 17,071,492.64
  5. Step 5: Solve for x
    x = 17,071,492.64/6,854.50
  6. Step 6: Final answer
    x = 2,490.55

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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.