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Finding the Fourth Proportional to 21,854.48, 32,778.48 and 10,758.16

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Solution

The fourth proportional to 21,854.48, 32,778.48 and 10,758.16 is: 16,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.48 : 32,778.48 = 10,758.16 : x
  2. Step 2: Convert to fraction form
    21,854.48/32,778.48 = 10,758.16/x
  3. Step 3: Cross multiply
    21,854.48x = 32,778.48 × 10,758.16
  4. Step 4: Simplify right side
    21,854.48x = 352,636,132.40
  5. Step 5: Solve for x
    x = 352,636,132.40/21,854.48
  6. Step 6: Final answer
    x = 16,135.65

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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.