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Finding the Fourth Proportional to 4,640, 6,404.64 and 2,984

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Solution

The fourth proportional to 4,640, 6,404.64 and 2,984 is: 4,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640 : 6,404.64 = 2,984 : x
  2. Step 2: Convert to fraction form
    4,640/6,404.64 = 2,984/x
  3. Step 3: Cross multiply
    4,640x = 6,404.64 × 2,984
  4. Step 4: Simplify right side
    4,640x = 19,111,445.76
  5. Step 5: Solve for x
    x = 19,111,445.76/4,640
  6. Step 6: Final answer
    x = 4,118.85

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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.