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Finding the Fourth Proportional to 30,697.64, 45,947.42 and 15,886.20

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Solution

The fourth proportional to 30,697.64, 45,947.42 and 15,886.20 is: 23,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.64 : 45,947.42 = 15,886.20 : x
  2. Step 2: Convert to fraction form
    30,697.64/45,947.42 = 15,886.20/x
  3. Step 3: Cross multiply
    30,697.64x = 45,947.42 × 15,886.20
  4. Step 4: Simplify right side
    30,697.64x = 729,929,903.60
  5. Step 5: Solve for x
    x = 729,929,903.60/30,697.64
  6. Step 6: Final answer
    x = 23,778.05

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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.