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Finding the Fourth Proportional to 19,641.60, 27,102.40 and 11,683.68

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Solution

The fourth proportional to 19,641.60, 27,102.40 and 11,683.68 is: 16,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.60 : 27,102.40 = 11,683.68 : x
  2. Step 2: Convert to fraction form
    19,641.60/27,102.40 = 11,683.68/x
  3. Step 3: Cross multiply
    19,641.60x = 27,102.40 × 11,683.68
  4. Step 4: Simplify right side
    19,641.60x = 316,655,768.83
  5. Step 5: Solve for x
    x = 316,655,768.83/19,641.60
  6. Step 6: Final answer
    x = 16,121.69

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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.