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Finding the Fourth Proportional to 2,113.92, 3,145.92 and 2,036.16

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Solution

The fourth proportional to 2,113.92, 3,145.92 and 2,036.16 is: 3,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.92 : 3,145.92 = 2,036.16 : x
  2. Step 2: Convert to fraction form
    2,113.92/3,145.92 = 2,036.16/x
  3. Step 3: Cross multiply
    2,113.92x = 3,145.92 × 2,036.16
  4. Step 4: Simplify right side
    2,113.92x = 6,405,596.47
  5. Step 5: Solve for x
    x = 6,405,596.47/2,113.92
  6. Step 6: Final answer
    x = 3,030.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.