Home / 4,724-7,084.78-1,436.20

Finding the Fourth Proportional to 4,724, 7,084.78 and 1,436.20

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Solution

The fourth proportional to 4,724, 7,084.78 and 1,436.20 is: 2,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724 : 7,084.78 = 1,436.20 : x
  2. Step 2: Convert to fraction form
    4,724/7,084.78 = 1,436.20/x
  3. Step 3: Cross multiply
    4,724x = 7,084.78 × 1,436.20
  4. Step 4: Simplify right side
    4,724x = 10,175,161.04
  5. Step 5: Solve for x
    x = 10,175,161.04/4,724
  6. Step 6: Final answer
    x = 2,153.93

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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.