Home / 1,612.80-2,416.32-1,097.28

Finding the Fourth Proportional to 1,612.80, 2,416.32 and 1,097.28

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Solution

The fourth proportional to 1,612.80, 2,416.32 and 1,097.28 is: 1,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.80 : 2,416.32 = 1,097.28 : x
  2. Step 2: Convert to fraction form
    1,612.80/2,416.32 = 1,097.28/x
  3. Step 3: Cross multiply
    1,612.80x = 2,416.32 × 1,097.28
  4. Step 4: Simplify right side
    1,612.80x = 2,651,379.61
  5. Step 5: Solve for x
    x = 2,651,379.61/1,612.80
  6. Step 6: Final answer
    x = 1,643.96

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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.