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Finding the Fourth Proportional to 5,641, 7,784.94 and 3,157

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Solution

The fourth proportional to 5,641, 7,784.94 and 3,157 is: 4,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641 : 7,784.94 = 3,157 : x
  2. Step 2: Convert to fraction form
    5,641/7,784.94 = 3,157/x
  3. Step 3: Cross multiply
    5,641x = 7,784.94 × 3,157
  4. Step 4: Simplify right side
    5,641x = 24,577,055.58
  5. Step 5: Solve for x
    x = 24,577,055.58/5,641
  6. Step 6: Final answer
    x = 4,356.86

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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.