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Finding the Fourth Proportional to 30,423.64, 45,637.07 and 9,378.13

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Solution

The fourth proportional to 30,423.64, 45,637.07 and 9,378.13 is: 14,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.64 : 45,637.07 = 9,378.13 : x
  2. Step 2: Convert to fraction form
    30,423.64/45,637.07 = 9,378.13/x
  3. Step 3: Cross multiply
    30,423.64x = 45,637.07 × 9,378.13
  4. Step 4: Simplify right side
    30,423.64x = 427,990,375.28
  5. Step 5: Solve for x
    x = 427,990,375.28/30,423.64
  6. Step 6: Final answer
    x = 14,067.69

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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.