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Finding the Fourth Proportional to 43,778.80, 65,648.22 and 15,688

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Solution

The fourth proportional to 43,778.80, 65,648.22 and 15,688 is: 23,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,778.80 : 65,648.22 = 15,688 : x
  2. Step 2: Convert to fraction form
    43,778.80/65,648.22 = 15,688/x
  3. Step 3: Cross multiply
    43,778.80x = 65,648.22 × 15,688
  4. Step 4: Simplify right side
    43,778.80x = 1,029,889,275.36
  5. Step 5: Solve for x
    x = 1,029,889,275.36/43,778.80
  6. Step 6: Final answer
    x = 23,524.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.