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Finding the Fourth Proportional to 7,977.84, 11,015.84 and 7,137.04

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Solution

The fourth proportional to 7,977.84, 11,015.84 and 7,137.04 is: 9,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.84 : 11,015.84 = 7,137.04 : x
  2. Step 2: Convert to fraction form
    7,977.84/11,015.84 = 7,137.04/x
  3. Step 3: Cross multiply
    7,977.84x = 11,015.84 × 7,137.04
  4. Step 4: Simplify right side
    7,977.84x = 78,620,490.71
  5. Step 5: Solve for x
    x = 78,620,490.71/7,977.84
  6. Step 6: Final answer
    x = 9,854.86

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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.