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Finding the Fourth Proportional to 5,672.93, 7,830.14 and 3,994.83

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Solution

The fourth proportional to 5,672.93, 7,830.14 and 3,994.83 is: 5,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.93 : 7,830.14 = 3,994.83 : x
  2. Step 2: Convert to fraction form
    5,672.93/7,830.14 = 3,994.83/x
  3. Step 3: Cross multiply
    5,672.93x = 7,830.14 × 3,994.83
  4. Step 4: Simplify right side
    5,672.93x = 31,280,058.20
  5. Step 5: Solve for x
    x = 31,280,058.20/5,672.93
  6. Step 6: Final answer
    x = 5,513.92

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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.