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Finding the Fourth Proportional to 30,475.63, 45,713.45 and 12,933.16

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Solution

The fourth proportional to 30,475.63, 45,713.45 and 12,933.16 is: 19,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.63 : 45,713.45 = 12,933.16 : x
  2. Step 2: Convert to fraction form
    30,475.63/45,713.45 = 12,933.16/x
  3. Step 3: Cross multiply
    30,475.63x = 45,713.45 × 12,933.16
  4. Step 4: Simplify right side
    30,475.63x = 591,219,363.00
  5. Step 5: Solve for x
    x = 591,219,363.00/30,475.63
  6. Step 6: Final answer
    x = 19,399.74

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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.