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Finding the Fourth Proportional to 1,222.35, 1,832.10 and 947.55

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Solution

The fourth proportional to 1,222.35, 1,832.10 and 947.55 is: 1,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.35 : 1,832.10 = 947.55 : x
  2. Step 2: Convert to fraction form
    1,222.35/1,832.10 = 947.55/x
  3. Step 3: Cross multiply
    1,222.35x = 1,832.10 × 947.55
  4. Step 4: Simplify right side
    1,222.35x = 1,736,006.36
  5. Step 5: Solve for x
    x = 1,736,006.36/1,222.35
  6. Step 6: Final answer
    x = 1,420.22

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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.