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Finding the Fourth Proportional to 9,640, 14,462.04 and 5,482

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Solution

The fourth proportional to 9,640, 14,462.04 and 5,482 is: 8,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640 : 14,462.04 = 5,482 : x
  2. Step 2: Convert to fraction form
    9,640/14,462.04 = 5,482/x
  3. Step 3: Cross multiply
    9,640x = 14,462.04 × 5,482
  4. Step 4: Simplify right side
    9,640x = 79,280,903.28
  5. Step 5: Solve for x
    x = 79,280,903.28/9,640
  6. Step 6: Final answer
    x = 8,224.16

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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.