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Finding the Fourth Proportional to 4,949.76, 7,423.29 and 1,988.22

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Solution

The fourth proportional to 4,949.76, 7,423.29 and 1,988.22 is: 2,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.76 : 7,423.29 = 1,988.22 : x
  2. Step 2: Convert to fraction form
    4,949.76/7,423.29 = 1,988.22/x
  3. Step 3: Cross multiply
    4,949.76x = 7,423.29 × 1,988.22
  4. Step 4: Simplify right side
    4,949.76x = 14,759,133.64
  5. Step 5: Solve for x
    x = 14,759,133.64/4,949.76
  6. Step 6: Final answer
    x = 2,981.79

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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.