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Finding the Fourth Proportional to 7,143.84, 10,715.58 and 1,949.58

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Solution

The fourth proportional to 7,143.84, 10,715.58 and 1,949.58 is: 2,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.84 : 10,715.58 = 1,949.58 : x
  2. Step 2: Convert to fraction form
    7,143.84/10,715.58 = 1,949.58/x
  3. Step 3: Cross multiply
    7,143.84x = 10,715.58 × 1,949.58
  4. Step 4: Simplify right side
    7,143.84x = 20,890,880.46
  5. Step 5: Solve for x
    x = 20,890,880.46/7,143.84
  6. Step 6: Final answer
    x = 2,924.32

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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.