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Finding the Fourth Proportional to 11,780.80, 16,258.08 and 7,064.80

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Solution

The fourth proportional to 11,780.80, 16,258.08 and 7,064.80 is: 9,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.80 : 16,258.08 = 7,064.80 : x
  2. Step 2: Convert to fraction form
    11,780.80/16,258.08 = 7,064.80/x
  3. Step 3: Cross multiply
    11,780.80x = 16,258.08 × 7,064.80
  4. Step 4: Simplify right side
    11,780.80x = 114,860,083.58
  5. Step 5: Solve for x
    x = 114,860,083.58/11,780.80
  6. Step 6: Final answer
    x = 9,749.77

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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.