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Finding the Fourth Proportional to 5,643.59, 8,448.37 and 3,038.63

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Solution

The fourth proportional to 5,643.59, 8,448.37 and 3,038.63 is: 4,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.59 : 8,448.37 = 3,038.63 : x
  2. Step 2: Convert to fraction form
    5,643.59/8,448.37 = 3,038.63/x
  3. Step 3: Cross multiply
    5,643.59x = 8,448.37 × 3,038.63
  4. Step 4: Simplify right side
    5,643.59x = 25,671,420.69
  5. Step 5: Solve for x
    x = 25,671,420.69/5,643.59
  6. Step 6: Final answer
    x = 4,548.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.