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Finding the Fourth Proportional to 30,482.98, 45,728.72 and 9,424.74

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Solution

The fourth proportional to 30,482.98, 45,728.72 and 9,424.74 is: 14,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482.98 : 45,728.72 = 9,424.74 : x
  2. Step 2: Convert to fraction form
    30,482.98/45,728.72 = 9,424.74/x
  3. Step 3: Cross multiply
    30,482.98x = 45,728.72 × 9,424.74
  4. Step 4: Simplify right side
    30,482.98x = 430,981,296.53
  5. Step 5: Solve for x
    x = 430,981,296.53/30,482.98
  6. Step 6: Final answer
    x = 14,138.42

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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.