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Finding the Fourth Proportional to 11,747.68, 16,193.40 and 8,903.68

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Solution

The fourth proportional to 11,747.68, 16,193.40 and 8,903.68 is: 12,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.68 : 16,193.40 = 8,903.68 : x
  2. Step 2: Convert to fraction form
    11,747.68/16,193.40 = 8,903.68/x
  3. Step 3: Cross multiply
    11,747.68x = 16,193.40 × 8,903.68
  4. Step 4: Simplify right side
    11,747.68x = 144,180,851.71
  5. Step 5: Solve for x
    x = 144,180,851.71/11,747.68
  6. Step 6: Final answer
    x = 12,273.13

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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.