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Finding the Fourth Proportional to 6,409.60, 9,592.80 and 5,891.20

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Solution

The fourth proportional to 6,409.60, 9,592.80 and 5,891.20 is: 8,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.60 : 9,592.80 = 5,891.20 : x
  2. Step 2: Convert to fraction form
    6,409.60/9,592.80 = 5,891.20/x
  3. Step 3: Cross multiply
    6,409.60x = 9,592.80 × 5,891.20
  4. Step 4: Simplify right side
    6,409.60x = 56,513,103.36
  5. Step 5: Solve for x
    x = 56,513,103.36/6,409.60
  6. Step 6: Final answer
    x = 8,816.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.