Home / 1,471.10-2,206.65-1,406.30

Finding the Fourth Proportional to 1,471.10, 2,206.65 and 1,406.30

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Solution

The fourth proportional to 1,471.10, 2,206.65 and 1,406.30 is: 2,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.10 : 2,206.65 = 1,406.30 : x
  2. Step 2: Convert to fraction form
    1,471.10/2,206.65 = 1,406.30/x
  3. Step 3: Cross multiply
    1,471.10x = 2,206.65 × 1,406.30
  4. Step 4: Simplify right side
    1,471.10x = 3,103,211.90
  5. Step 5: Solve for x
    x = 3,103,211.90/1,471.10
  6. Step 6: Final answer
    x = 2,109.45

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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.