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Finding the Fourth Proportional to 4,610, 6,915.64 and 2,143.56

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Solution

The fourth proportional to 4,610, 6,915.64 and 2,143.56 is: 3,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610 : 6,915.64 = 2,143.56 : x
  2. Step 2: Convert to fraction form
    4,610/6,915.64 = 2,143.56/x
  3. Step 3: Cross multiply
    4,610x = 6,915.64 × 2,143.56
  4. Step 4: Simplify right side
    4,610x = 14,824,089.28
  5. Step 5: Solve for x
    x = 14,824,089.28/4,610
  6. Step 6: Final answer
    x = 3,215.64

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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.