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Finding the Fourth Proportional to 2,051.87, 2,831.13 and 1,421.42

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Solution

The fourth proportional to 2,051.87, 2,831.13 and 1,421.42 is: 1,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.87 : 2,831.13 = 1,421.42 : x
  2. Step 2: Convert to fraction form
    2,051.87/2,831.13 = 1,421.42/x
  3. Step 3: Cross multiply
    2,051.87x = 2,831.13 × 1,421.42
  4. Step 4: Simplify right side
    2,051.87x = 4,024,210.65
  5. Step 5: Solve for x
    x = 4,024,210.65/2,051.87
  6. Step 6: Final answer
    x = 1,961.25

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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.