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Finding the Fourth Proportional to 7,280.50, 10,920.75 and 2,416.50

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Solution

The fourth proportional to 7,280.50, 10,920.75 and 2,416.50 is: 3,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.50 : 10,920.75 = 2,416.50 : x
  2. Step 2: Convert to fraction form
    7,280.50/10,920.75 = 2,416.50/x
  3. Step 3: Cross multiply
    7,280.50x = 10,920.75 × 2,416.50
  4. Step 4: Simplify right side
    7,280.50x = 26,389,992.38
  5. Step 5: Solve for x
    x = 26,389,992.38/7,280.50
  6. Step 6: Final answer
    x = 3,624.75

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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.