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Finding the Fourth Proportional to 5,662.80, 7,806.44 and 4,088.40

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Solution

The fourth proportional to 5,662.80, 7,806.44 and 4,088.40 is: 5,636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.80 : 7,806.44 = 4,088.40 : x
  2. Step 2: Convert to fraction form
    5,662.80/7,806.44 = 4,088.40/x
  3. Step 3: Cross multiply
    5,662.80x = 7,806.44 × 4,088.40
  4. Step 4: Simplify right side
    5,662.80x = 31,915,849.30
  5. Step 5: Solve for x
    x = 31,915,849.30/5,662.80
  6. Step 6: Final answer
    x = 5,636.05

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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.