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Finding the Fourth Proportional to 5,769.99, 8,647.63 and 2,809.15

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Solution

The fourth proportional to 5,769.99, 8,647.63 and 2,809.15 is: 4,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.99 : 8,647.63 = 2,809.15 : x
  2. Step 2: Convert to fraction form
    5,769.99/8,647.63 = 2,809.15/x
  3. Step 3: Cross multiply
    5,769.99x = 8,647.63 × 2,809.15
  4. Step 4: Simplify right side
    5,769.99x = 24,292,461.17
  5. Step 5: Solve for x
    x = 24,292,461.17/5,769.99
  6. Step 6: Final answer
    x = 4,210.14

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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.