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Finding the Fourth Proportional to 7,880.40, 11,820.78 and 2,949.12

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Solution

The fourth proportional to 7,880.40, 11,820.78 and 2,949.12 is: 4,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.40 : 11,820.78 = 2,949.12 : x
  2. Step 2: Convert to fraction form
    7,880.40/11,820.78 = 2,949.12/x
  3. Step 3: Cross multiply
    7,880.40x = 11,820.78 × 2,949.12
  4. Step 4: Simplify right side
    7,880.40x = 34,860,898.71
  5. Step 5: Solve for x
    x = 34,860,898.71/7,880.40
  6. Step 6: Final answer
    x = 4,423.75

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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.