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Finding the Fourth Proportional to 8,728.14, 13,097.66 and 3,534

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Solution

The fourth proportional to 8,728.14, 13,097.66 and 3,534 is: 5,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.14 : 13,097.66 = 3,534 : x
  2. Step 2: Convert to fraction form
    8,728.14/13,097.66 = 3,534/x
  3. Step 3: Cross multiply
    8,728.14x = 13,097.66 × 3,534
  4. Step 4: Simplify right side
    8,728.14x = 46,287,130.44
  5. Step 5: Solve for x
    x = 46,287,130.44/8,728.14
  6. Step 6: Final answer
    x = 5,303.21

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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.