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Finding the Fourth Proportional to 5,643.78, 8,464.99 and 1,484.11

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Solution

The fourth proportional to 5,643.78, 8,464.99 and 1,484.11 is: 2,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.78 : 8,464.99 = 1,484.11 : x
  2. Step 2: Convert to fraction form
    5,643.78/8,464.99 = 1,484.11/x
  3. Step 3: Cross multiply
    5,643.78x = 8,464.99 × 1,484.11
  4. Step 4: Simplify right side
    5,643.78x = 12,562,974.04
  5. Step 5: Solve for x
    x = 12,562,974.04/5,643.78
  6. Step 6: Final answer
    x = 2,225.99

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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.