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Finding the Fourth Proportional to 8,643.81, 12,968.76 and 4,949.15

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Solution

The fourth proportional to 8,643.81, 12,968.76 and 4,949.15 is: 7,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.81 : 12,968.76 = 4,949.15 : x
  2. Step 2: Convert to fraction form
    8,643.81/12,968.76 = 4,949.15/x
  3. Step 3: Cross multiply
    8,643.81x = 12,968.76 × 4,949.15
  4. Step 4: Simplify right side
    8,643.81x = 64,184,337.38
  5. Step 5: Solve for x
    x = 64,184,337.38/8,643.81
  6. Step 6: Final answer
    x = 7,425.47

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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.