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Finding the Fourth Proportional to 8,718.76, 13,070.78 and 3,784.70

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Solution

The fourth proportional to 8,718.76, 13,070.78 and 3,784.70 is: 5,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,718.76 : 13,070.78 = 3,784.70 : x
  2. Step 2: Convert to fraction form
    8,718.76/13,070.78 = 3,784.70/x
  3. Step 3: Cross multiply
    8,718.76x = 13,070.78 × 3,784.70
  4. Step 4: Simplify right side
    8,718.76x = 49,468,981.07
  5. Step 5: Solve for x
    x = 49,468,981.07/8,718.76
  6. Step 6: Final answer
    x = 5,673.86

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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.