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Finding the Fourth Proportional to 4,640, 6,403.12 and 2,544.08

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Solution

The fourth proportional to 4,640, 6,403.12 and 2,544.08 is: 3,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640 : 6,403.12 = 2,544.08 : x
  2. Step 2: Convert to fraction form
    4,640/6,403.12 = 2,544.08/x
  3. Step 3: Cross multiply
    4,640x = 6,403.12 × 2,544.08
  4. Step 4: Simplify right side
    4,640x = 16,290,049.53
  5. Step 5: Solve for x
    x = 16,290,049.53/4,640
  6. Step 6: Final answer
    x = 3,510.79

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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.