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Finding the Fourth Proportional to 3,141.95, 4,712.92 and 1,291.77

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Solution

The fourth proportional to 3,141.95, 4,712.92 and 1,291.77 is: 1,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.95 : 4,712.92 = 1,291.77 : x
  2. Step 2: Convert to fraction form
    3,141.95/4,712.92 = 1,291.77/x
  3. Step 3: Cross multiply
    3,141.95x = 4,712.92 × 1,291.77
  4. Step 4: Simplify right side
    3,141.95x = 6,087,994.32
  5. Step 5: Solve for x
    x = 6,087,994.32/3,141.95
  6. Step 6: Final answer
    x = 1,937.65

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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.