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Finding the Fourth Proportional to 8,937, 13,405.50 and 2,781

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Solution

The fourth proportional to 8,937, 13,405.50 and 2,781 is: 4,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937 : 13,405.50 = 2,781 : x
  2. Step 2: Convert to fraction form
    8,937/13,405.50 = 2,781/x
  3. Step 3: Cross multiply
    8,937x = 13,405.50 × 2,781
  4. Step 4: Simplify right side
    8,937x = 37,280,695.50
  5. Step 5: Solve for x
    x = 37,280,695.50/8,937
  6. Step 6: Final answer
    x = 4,171.50

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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.