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Finding the Fourth Proportional to 12,224.77, 16,870.52 and 6,919.47

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Solution

The fourth proportional to 12,224.77, 16,870.52 and 6,919.47 is: 9,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.77 : 16,870.52 = 6,919.47 : x
  2. Step 2: Convert to fraction form
    12,224.77/16,870.52 = 6,919.47/x
  3. Step 3: Cross multiply
    12,224.77x = 16,870.52 × 6,919.47
  4. Step 4: Simplify right side
    12,224.77x = 116,735,074.32
  5. Step 5: Solve for x
    x = 116,735,074.32/12,224.77
  6. Step 6: Final answer
    x = 9,549.06

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1.5x scale

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.