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Finding the Fourth Proportional to 3,564.64, 4,919.00 and 1,971.19

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Solution

The fourth proportional to 3,564.64, 4,919.00 and 1,971.19 is: 2,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.64 : 4,919.00 = 1,971.19 : x
  2. Step 2: Convert to fraction form
    3,564.64/4,919.00 = 1,971.19/x
  3. Step 3: Cross multiply
    3,564.64x = 4,919.00 × 1,971.19
  4. Step 4: Simplify right side
    3,564.64x = 9,696,300.84
  5. Step 5: Solve for x
    x = 9,696,300.84/3,564.64
  6. Step 6: Final answer
    x = 2,720.14

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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.