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Finding the Fourth Proportional to 1,738.17, 2,606.04 and 872.01

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Solution

The fourth proportional to 1,738.17, 2,606.04 and 872.01 is: 1,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.17 : 2,606.04 = 872.01 : x
  2. Step 2: Convert to fraction form
    1,738.17/2,606.04 = 872.01/x
  3. Step 3: Cross multiply
    1,738.17x = 2,606.04 × 872.01
  4. Step 4: Simplify right side
    1,738.17x = 2,272,492.94
  5. Step 5: Solve for x
    x = 2,272,492.94/1,738.17
  6. Step 6: Final answer
    x = 1,307.41

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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.