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Finding the Fourth Proportional to 1,647.46, 2,470.74 and 825.13

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Solution

The fourth proportional to 1,647.46, 2,470.74 and 825.13 is: 1,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.46 : 2,470.74 = 825.13 : x
  2. Step 2: Convert to fraction form
    1,647.46/2,470.74 = 825.13/x
  3. Step 3: Cross multiply
    1,647.46x = 2,470.74 × 825.13
  4. Step 4: Simplify right side
    1,647.46x = 2,038,681.70
  5. Step 5: Solve for x
    x = 2,038,681.70/1,647.46
  6. Step 6: Final answer
    x = 1,237.47

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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.