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Finding the Fourth Proportional to 2,164.88, 3,247.80 and 1,010

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Solution

The fourth proportional to 2,164.88, 3,247.80 and 1,010 is: 1,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.88 : 3,247.80 = 1,010 : x
  2. Step 2: Convert to fraction form
    2,164.88/3,247.80 = 1,010/x
  3. Step 3: Cross multiply
    2,164.88x = 3,247.80 × 1,010
  4. Step 4: Simplify right side
    2,164.88x = 3,280,278
  5. Step 5: Solve for x
    x = 3,280,278/2,164.88
  6. Step 6: Final answer
    x = 1,515.22

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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.