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Finding the Fourth Proportional to 3,569.04, 5,355 and 1,619.28

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Solution

The fourth proportional to 3,569.04, 5,355 and 1,619.28 is: 2,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.04 : 5,355 = 1,619.28 : x
  2. Step 2: Convert to fraction form
    3,569.04/5,355 = 1,619.28/x
  3. Step 3: Cross multiply
    3,569.04x = 5,355 × 1,619.28
  4. Step 4: Simplify right side
    3,569.04x = 8,671,244.40
  5. Step 5: Solve for x
    x = 8,671,244.40/3,569.04
  6. Step 6: Final answer
    x = 2,429.57

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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.