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Finding the Fourth Proportional to 12,224, 16,869.78 and 7,746.20

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Solution

The fourth proportional to 12,224, 16,869.78 and 7,746.20 is: 10,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 16,869.78 = 7,746.20 : x
  2. Step 2: Convert to fraction form
    12,224/16,869.78 = 7,746.20/x
  3. Step 3: Cross multiply
    12,224x = 16,869.78 × 7,746.20
  4. Step 4: Simplify right side
    12,224x = 130,676,689.84
  5. Step 5: Solve for x
    x = 130,676,689.84/12,224
  6. Step 6: Final answer
    x = 10,690.17

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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.