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Finding the Fourth Proportional to 3,484, 5,226 and 1,432

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Solution

The fourth proportional to 3,484, 5,226 and 1,432 is: 2,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484 : 5,226 = 1,432 : x
  2. Step 2: Convert to fraction form
    3,484/5,226 = 1,432/x
  3. Step 3: Cross multiply
    3,484x = 5,226 × 1,432
  4. Step 4: Simplify right side
    3,484x = 7,483,632
  5. Step 5: Solve for x
    x = 7,483,632/3,484
  6. Step 6: Final answer
    x = 2,148

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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.