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Finding the Fourth Proportional to 30,614.63, 45,923.52 and 8,427.51

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Solution

The fourth proportional to 30,614.63, 45,923.52 and 8,427.51 is: 12,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.63 : 45,923.52 = 8,427.51 : x
  2. Step 2: Convert to fraction form
    30,614.63/45,923.52 = 8,427.51/x
  3. Step 3: Cross multiply
    30,614.63x = 45,923.52 × 8,427.51
  4. Step 4: Simplify right side
    30,614.63x = 387,020,955.64
  5. Step 5: Solve for x
    x = 387,020,955.64/30,614.63
  6. Step 6: Final answer
    x = 12,641.70

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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.