Home / 6,974.16-9,624-3,830.28

Finding the Fourth Proportional to 6,974.16, 9,624 and 3,830.28

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Solution

The fourth proportional to 6,974.16, 9,624 and 3,830.28 is: 5,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.16 : 9,624 = 3,830.28 : x
  2. Step 2: Convert to fraction form
    6,974.16/9,624 = 3,830.28/x
  3. Step 3: Cross multiply
    6,974.16x = 9,624 × 3,830.28
  4. Step 4: Simplify right side
    6,974.16x = 36,862,614.72
  5. Step 5: Solve for x
    x = 36,862,614.72/6,974.16
  6. Step 6: Final answer
    x = 5,285.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.