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Finding the Fourth Proportional to 9,920.15, 14,880.14 and 2,524.50

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Solution

The fourth proportional to 9,920.15, 14,880.14 and 2,524.50 is: 3,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.15 : 14,880.14 = 2,524.50 : x
  2. Step 2: Convert to fraction form
    9,920.15/14,880.14 = 2,524.50/x
  3. Step 3: Cross multiply
    9,920.15x = 14,880.14 × 2,524.50
  4. Step 4: Simplify right side
    9,920.15x = 37,564,900.81
  5. Step 5: Solve for x
    x = 37,564,900.81/9,920.15
  6. Step 6: Final answer
    x = 3,786.73

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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.