Home / 2,309.60-3,185.12-1,564.65

Finding the Fourth Proportional to 2,309.60, 3,185.12 and 1,564.65

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Solution

The fourth proportional to 2,309.60, 3,185.12 and 1,564.65 is: 2,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.60 : 3,185.12 = 1,564.65 : x
  2. Step 2: Convert to fraction form
    2,309.60/3,185.12 = 1,564.65/x
  3. Step 3: Cross multiply
    2,309.60x = 3,185.12 × 1,564.65
  4. Step 4: Simplify right side
    2,309.60x = 4,983,598.01
  5. Step 5: Solve for x
    x = 4,983,598.01/2,309.60
  6. Step 6: Final answer
    x = 2,157.78

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1.5x scale

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.