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Finding the Fourth Proportional to 5,368, 7,406.22 and 3,380.53

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Solution

The fourth proportional to 5,368, 7,406.22 and 3,380.53 is: 4,664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368 : 7,406.22 = 3,380.53 : x
  2. Step 2: Convert to fraction form
    5,368/7,406.22 = 3,380.53/x
  3. Step 3: Cross multiply
    5,368x = 7,406.22 × 3,380.53
  4. Step 4: Simplify right side
    5,368x = 25,036,948.90
  5. Step 5: Solve for x
    x = 25,036,948.90/5,368
  6. Step 6: Final answer
    x = 4,664.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.