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Finding the Fourth Proportional to 1,686.49, 2,528.04 and 992.21

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Solution

The fourth proportional to 1,686.49, 2,528.04 and 992.21 is: 1,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.49 : 2,528.04 = 992.21 : x
  2. Step 2: Convert to fraction form
    1,686.49/2,528.04 = 992.21/x
  3. Step 3: Cross multiply
    1,686.49x = 2,528.04 × 992.21
  4. Step 4: Simplify right side
    1,686.49x = 2,508,346.57
  5. Step 5: Solve for x
    x = 2,508,346.57/1,686.49
  6. Step 6: Final answer
    x = 1,487.32

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Double scale
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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.