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Finding the Fourth Proportional to 1,406.49, 2,108.57 and 886.34

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Solution

The fourth proportional to 1,406.49, 2,108.57 and 886.34 is: 1,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.49 : 2,108.57 = 886.34 : x
  2. Step 2: Convert to fraction form
    1,406.49/2,108.57 = 886.34/x
  3. Step 3: Cross multiply
    1,406.49x = 2,108.57 × 886.34
  4. Step 4: Simplify right side
    1,406.49x = 1,868,914.51
  5. Step 5: Solve for x
    x = 1,868,914.51/1,406.49
  6. Step 6: Final answer
    x = 1,328.78

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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.