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Finding the Fourth Proportional to 5,410.50, 8,115.75 and 1,762.50

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Solution

The fourth proportional to 5,410.50, 8,115.75 and 1,762.50 is: 2,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.50 : 8,115.75 = 1,762.50 : x
  2. Step 2: Convert to fraction form
    5,410.50/8,115.75 = 1,762.50/x
  3. Step 3: Cross multiply
    5,410.50x = 8,115.75 × 1,762.50
  4. Step 4: Simplify right side
    5,410.50x = 14,304,009.38
  5. Step 5: Solve for x
    x = 14,304,009.38/5,410.50
  6. Step 6: Final answer
    x = 2,643.75

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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.