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Finding the Fourth Proportional to 12,811.74, 17,688.42 and 8,038.23

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Solution

The fourth proportional to 12,811.74, 17,688.42 and 8,038.23 is: 11,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.74 : 17,688.42 = 8,038.23 : x
  2. Step 2: Convert to fraction form
    12,811.74/17,688.42 = 8,038.23/x
  3. Step 3: Cross multiply
    12,811.74x = 17,688.42 × 8,038.23
  4. Step 4: Simplify right side
    12,811.74x = 142,183,588.30
  5. Step 5: Solve for x
    x = 142,183,588.30/12,811.74
  6. Step 6: Final answer
    x = 11,097.91

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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.