Home / 2,117.16-3,174.96-730.14

Finding the Fourth Proportional to 2,117.16, 3,174.96 and 730.14

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Solution

The fourth proportional to 2,117.16, 3,174.96 and 730.14 is: 1,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.16 : 3,174.96 = 730.14 : x
  2. Step 2: Convert to fraction form
    2,117.16/3,174.96 = 730.14/x
  3. Step 3: Cross multiply
    2,117.16x = 3,174.96 × 730.14
  4. Step 4: Simplify right side
    2,117.16x = 2,318,165.29
  5. Step 5: Solve for x
    x = 2,318,165.29/2,117.16
  6. Step 6: Final answer
    x = 1,094.94

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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.