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Finding the Fourth Proportional to 12,224.95, 16,870.84 and 6,919.66

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Solution

The fourth proportional to 12,224.95, 16,870.84 and 6,919.66 is: 9,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.95 : 16,870.84 = 6,919.66 : x
  2. Step 2: Convert to fraction form
    12,224.95/16,870.84 = 6,919.66/x
  3. Step 3: Cross multiply
    12,224.95x = 16,870.84 × 6,919.66
  4. Step 4: Simplify right side
    12,224.95x = 116,740,366.41
  5. Step 5: Solve for x
    x = 116,740,366.41/12,224.95
  6. Step 6: Final answer
    x = 9,549.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.