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Finding the Fourth Proportional to 3,262.70, 4,894.32 and 922.71

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Solution

The fourth proportional to 3,262.70, 4,894.32 and 922.71 is: 1,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.70 : 4,894.32 = 922.71 : x
  2. Step 2: Convert to fraction form
    3,262.70/4,894.32 = 922.71/x
  3. Step 3: Cross multiply
    3,262.70x = 4,894.32 × 922.71
  4. Step 4: Simplify right side
    3,262.70x = 4,516,038.01
  5. Step 5: Solve for x
    x = 4,516,038.01/3,262.70
  6. Step 6: Final answer
    x = 1,384.14

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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.