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Finding the Fourth Proportional to 8,954.49, 12,357.20 and 4,975.98

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Solution

The fourth proportional to 8,954.49, 12,357.20 and 4,975.98 is: 6,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.49 : 12,357.20 = 4,975.98 : x
  2. Step 2: Convert to fraction form
    8,954.49/12,357.20 = 4,975.98/x
  3. Step 3: Cross multiply
    8,954.49x = 12,357.20 × 4,975.98
  4. Step 4: Simplify right side
    8,954.49x = 61,489,155.18
  5. Step 5: Solve for x
    x = 61,489,155.18/8,954.49
  6. Step 6: Final answer
    x = 6,866.85

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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.