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Finding the Fourth Proportional to 5,721.14, 7,895 and 3,364.86

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Solution

The fourth proportional to 5,721.14, 7,895 and 3,364.86 is: 4,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.14 : 7,895 = 3,364.86 : x
  2. Step 2: Convert to fraction form
    5,721.14/7,895 = 3,364.86/x
  3. Step 3: Cross multiply
    5,721.14x = 7,895 × 3,364.86
  4. Step 4: Simplify right side
    5,721.14x = 26,565,569.70
  5. Step 5: Solve for x
    x = 26,565,569.70/5,721.14
  6. Step 6: Final answer
    x = 4,643.40

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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.