Home / 4,922.76-7,384.54-1,460

Finding the Fourth Proportional to 4,922.76, 7,384.54 and 1,460

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Solution

The fourth proportional to 4,922.76, 7,384.54 and 1,460 is: 2,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.76 : 7,384.54 = 1,460 : x
  2. Step 2: Convert to fraction form
    4,922.76/7,384.54 = 1,460/x
  3. Step 3: Cross multiply
    4,922.76x = 7,384.54 × 1,460
  4. Step 4: Simplify right side
    4,922.76x = 10,781,428.40
  5. Step 5: Solve for x
    x = 10,781,428.40/4,922.76
  6. Step 6: Final answer
    x = 2,190.12

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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.