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Finding the Fourth Proportional to 12,228.24, 16,875 and 6,639.12

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Solution

The fourth proportional to 12,228.24, 16,875 and 6,639.12 is: 9,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.24 : 16,875 = 6,639.12 : x
  2. Step 2: Convert to fraction form
    12,228.24/16,875 = 6,639.12/x
  3. Step 3: Cross multiply
    12,228.24x = 16,875 × 6,639.12
  4. Step 4: Simplify right side
    12,228.24x = 112,035,150
  5. Step 5: Solve for x
    x = 112,035,150/12,228.24
  6. Step 6: Final answer
    x = 9,162.00

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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.