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Finding the Fourth Proportional to 8,974.95, 12,384.86 and 4,995.96

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Solution

The fourth proportional to 8,974.95, 12,384.86 and 4,995.96 is: 6,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.95 : 12,384.86 = 4,995.96 : x
  2. Step 2: Convert to fraction form
    8,974.95/12,384.86 = 4,995.96/x
  3. Step 3: Cross multiply
    8,974.95x = 12,384.86 × 4,995.96
  4. Step 4: Simplify right side
    8,974.95x = 61,874,240.19
  5. Step 5: Solve for x
    x = 61,874,240.19/8,974.95
  6. Step 6: Final answer
    x = 6,894.10

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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.