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Finding the Fourth Proportional to 6,145.64, 9,219.06 and 2,447

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Solution

The fourth proportional to 6,145.64, 9,219.06 and 2,447 is: 3,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.64 : 9,219.06 = 2,447 : x
  2. Step 2: Convert to fraction form
    6,145.64/9,219.06 = 2,447/x
  3. Step 3: Cross multiply
    6,145.64x = 9,219.06 × 2,447
  4. Step 4: Simplify right side
    6,145.64x = 22,559,039.82
  5. Step 5: Solve for x
    x = 22,559,039.82/6,145.64
  6. Step 6: Final answer
    x = 3,670.74

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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.