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Finding the Fourth Proportional to 6,292.58, 8,685.57 and 3,641.78

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Solution

The fourth proportional to 6,292.58, 8,685.57 and 3,641.78 is: 5,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.58 : 8,685.57 = 3,641.78 : x
  2. Step 2: Convert to fraction form
    6,292.58/8,685.57 = 3,641.78/x
  3. Step 3: Cross multiply
    6,292.58x = 8,685.57 × 3,641.78
  4. Step 4: Simplify right side
    6,292.58x = 31,630,935.11
  5. Step 5: Solve for x
    x = 31,630,935.11/6,292.58
  6. Step 6: Final answer
    x = 5,026.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.