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Finding the Fourth Proportional to 5,681.60, 8,522.75 and 1,786.16

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Solution

The fourth proportional to 5,681.60, 8,522.75 and 1,786.16 is: 2,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.60 : 8,522.75 = 1,786.16 : x
  2. Step 2: Convert to fraction form
    5,681.60/8,522.75 = 1,786.16/x
  3. Step 3: Cross multiply
    5,681.60x = 8,522.75 × 1,786.16
  4. Step 4: Simplify right side
    5,681.60x = 15,222,956.99
  5. Step 5: Solve for x
    x = 15,222,956.99/5,681.60
  6. Step 6: Final answer
    x = 2,679.35

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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.