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Finding the Fourth Proportional to 5,705.54, 8,559.12 and 1,810.28

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Solution

The fourth proportional to 5,705.54, 8,559.12 and 1,810.28 is: 2,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.54 : 8,559.12 = 1,810.28 : x
  2. Step 2: Convert to fraction form
    5,705.54/8,559.12 = 1,810.28/x
  3. Step 3: Cross multiply
    5,705.54x = 8,559.12 × 1,810.28
  4. Step 4: Simplify right side
    5,705.54x = 15,494,403.75
  5. Step 5: Solve for x
    x = 15,494,403.75/5,705.54
  6. Step 6: Final answer
    x = 2,715.68

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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.