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Finding the Fourth Proportional to 7,093.60, 9,787.84 and 4,109.20

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Solution

The fourth proportional to 7,093.60, 9,787.84 and 4,109.20 is: 5,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.60 : 9,787.84 = 4,109.20 : x
  2. Step 2: Convert to fraction form
    7,093.60/9,787.84 = 4,109.20/x
  3. Step 3: Cross multiply
    7,093.60x = 9,787.84 × 4,109.20
  4. Step 4: Simplify right side
    7,093.60x = 40,220,192.13
  5. Step 5: Solve for x
    x = 40,220,192.13/7,093.60
  6. Step 6: Final answer
    x = 5,669.93

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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.