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Finding the Fourth Proportional to 30,643.56, 45,964.42 and 8,458.27

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Solution

The fourth proportional to 30,643.56, 45,964.42 and 8,458.27 is: 12,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.56 : 45,964.42 = 8,458.27 : x
  2. Step 2: Convert to fraction form
    30,643.56/45,964.42 = 8,458.27/x
  3. Step 3: Cross multiply
    30,643.56x = 45,964.42 × 8,458.27
  4. Step 4: Simplify right side
    30,643.56x = 388,779,474.75
  5. Step 5: Solve for x
    x = 388,779,474.75/30,643.56
  6. Step 6: Final answer
    x = 12,687.15

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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.