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Finding the Fourth Proportional to 8,963, 13,444.50 and 2,807

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Solution

The fourth proportional to 8,963, 13,444.50 and 2,807 is: 4,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963 : 13,444.50 = 2,807 : x
  2. Step 2: Convert to fraction form
    8,963/13,444.50 = 2,807/x
  3. Step 3: Cross multiply
    8,963x = 13,444.50 × 2,807
  4. Step 4: Simplify right side
    8,963x = 37,738,711.50
  5. Step 5: Solve for x
    x = 37,738,711.50/8,963
  6. Step 6: Final answer
    x = 4,210.50

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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.