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Finding the Fourth Proportional to 4,487, 6,729.56 and 4,264.70

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Solution

The fourth proportional to 4,487, 6,729.56 and 4,264.70 is: 6,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487 : 6,729.56 = 4,264.70 : x
  2. Step 2: Convert to fraction form
    4,487/6,729.56 = 4,264.70/x
  3. Step 3: Cross multiply
    4,487x = 6,729.56 × 4,264.70
  4. Step 4: Simplify right side
    4,487x = 28,699,554.53
  5. Step 5: Solve for x
    x = 28,699,554.53/4,487
  6. Step 6: Final answer
    x = 6,396.16

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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.