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Finding the Fourth Proportional to 30,591.64, 45,863.16 and 11,870.92

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Solution

The fourth proportional to 30,591.64, 45,863.16 and 11,870.92 is: 17,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.64 : 45,863.16 = 11,870.92 : x
  2. Step 2: Convert to fraction form
    30,591.64/45,863.16 = 11,870.92/x
  3. Step 3: Cross multiply
    30,591.64x = 45,863.16 × 11,870.92
  4. Step 4: Simplify right side
    30,591.64x = 544,437,903.31
  5. Step 5: Solve for x
    x = 544,437,903.31/30,591.64
  6. Step 6: Final answer
    x = 17,796.95

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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.