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Finding the Fourth Proportional to 6,387, 8,812.74 and 3,733.89

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Solution

The fourth proportional to 6,387, 8,812.74 and 3,733.89 is: 5,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387 : 8,812.74 = 3,733.89 : x
  2. Step 2: Convert to fraction form
    6,387/8,812.74 = 3,733.89/x
  3. Step 3: Cross multiply
    6,387x = 8,812.74 × 3,733.89
  4. Step 4: Simplify right side
    6,387x = 32,905,801.76
  5. Step 5: Solve for x
    x = 32,905,801.76/6,387
  6. Step 6: Final answer
    x = 5,152.00

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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.