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Finding the Fourth Proportional to 1,754.84, 2,420.06 and 1,615.26

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Solution

The fourth proportional to 1,754.84, 2,420.06 and 1,615.26 is: 2,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.84 : 2,420.06 = 1,615.26 : x
  2. Step 2: Convert to fraction form
    1,754.84/2,420.06 = 1,615.26/x
  3. Step 3: Cross multiply
    1,754.84x = 2,420.06 × 1,615.26
  4. Step 4: Simplify right side
    1,754.84x = 3,909,026.12
  5. Step 5: Solve for x
    x = 3,909,026.12/1,754.84
  6. Step 6: Final answer
    x = 2,227.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.