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Finding the Fourth Proportional to 8,999.90, 13,503.90 and 3,160.70

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Solution

The fourth proportional to 8,999.90, 13,503.90 and 3,160.70 is: 4,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,999.90 : 13,503.90 = 3,160.70 : x
  2. Step 2: Convert to fraction form
    8,999.90/13,503.90 = 3,160.70/x
  3. Step 3: Cross multiply
    8,999.90x = 13,503.90 × 3,160.70
  4. Step 4: Simplify right side
    8,999.90x = 42,681,776.73
  5. Step 5: Solve for x
    x = 42,681,776.73/8,999.90
  6. Step 6: Final answer
    x = 4,742.47

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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.