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Finding the Fourth Proportional to 7,780.97, 11,712.98 and 6,977.25

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Solution

The fourth proportional to 7,780.97, 11,712.98 and 6,977.25 is: 10,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.97 : 11,712.98 = 6,977.25 : x
  2. Step 2: Convert to fraction form
    7,780.97/11,712.98 = 6,977.25/x
  3. Step 3: Cross multiply
    7,780.97x = 11,712.98 × 6,977.25
  4. Step 4: Simplify right side
    7,780.97x = 81,724,407.15
  5. Step 5: Solve for x
    x = 81,724,407.15/7,780.97
  6. Step 6: Final answer
    x = 10,503.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.