Home / 1,601.40-2,208.30-1,565.64

Finding the Fourth Proportional to 1,601.40, 2,208.30 and 1,565.64

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Solution

The fourth proportional to 1,601.40, 2,208.30 and 1,565.64 is: 2,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.40 : 2,208.30 = 1,565.64 : x
  2. Step 2: Convert to fraction form
    1,601.40/2,208.30 = 1,565.64/x
  3. Step 3: Cross multiply
    1,601.40x = 2,208.30 × 1,565.64
  4. Step 4: Simplify right side
    1,601.40x = 3,457,402.81
  5. Step 5: Solve for x
    x = 3,457,402.81/1,601.40
  6. Step 6: Final answer
    x = 2,158.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.