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Finding the Fourth Proportional to 3,643.36, 5,467.74 and 1,564.36

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Solution

The fourth proportional to 3,643.36, 5,467.74 and 1,564.36 is: 2,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.36 : 5,467.74 = 1,564.36 : x
  2. Step 2: Convert to fraction form
    3,643.36/5,467.74 = 1,564.36/x
  3. Step 3: Cross multiply
    3,643.36x = 5,467.74 × 1,564.36
  4. Step 4: Simplify right side
    3,643.36x = 8,553,513.75
  5. Step 5: Solve for x
    x = 8,553,513.75/3,643.36
  6. Step 6: Final answer
    x = 2,347.70

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1.5x scale

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.