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Finding the Fourth Proportional to 10,828.68, 14,929.68 and 8,881.20

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Solution

The fourth proportional to 10,828.68, 14,929.68 and 8,881.20 is: 12,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.68 : 14,929.68 = 8,881.20 : x
  2. Step 2: Convert to fraction form
    10,828.68/14,929.68 = 8,881.20/x
  3. Step 3: Cross multiply
    10,828.68x = 14,929.68 × 8,881.20
  4. Step 4: Simplify right side
    10,828.68x = 132,593,474.02
  5. Step 5: Solve for x
    x = 132,593,474.02/10,828.68
  6. Step 6: Final answer
    x = 12,244.66

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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.