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Finding the Fourth Proportional to 7,801.60, 10,758.24 and 6,120

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Solution

The fourth proportional to 7,801.60, 10,758.24 and 6,120 is: 8,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.60 : 10,758.24 = 6,120 : x
  2. Step 2: Convert to fraction form
    7,801.60/10,758.24 = 6,120/x
  3. Step 3: Cross multiply
    7,801.60x = 10,758.24 × 6,120
  4. Step 4: Simplify right side
    7,801.60x = 65,840,428.80
  5. Step 5: Solve for x
    x = 65,840,428.80/7,801.60
  6. Step 6: Final answer
    x = 8,439.35

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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.