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Finding the Fourth Proportional to 2,073.12, 3,109.70 and 612.17

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Solution

The fourth proportional to 2,073.12, 3,109.70 and 612.17 is: 918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.12 : 3,109.70 = 612.17 : x
  2. Step 2: Convert to fraction form
    2,073.12/3,109.70 = 612.17/x
  3. Step 3: Cross multiply
    2,073.12x = 3,109.70 × 612.17
  4. Step 4: Simplify right side
    2,073.12x = 1,903,646.44
  5. Step 5: Solve for x
    x = 1,903,646.44/2,073.12
  6. Step 6: Final answer
    x = 918.25

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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.