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Finding the Fourth Proportional to 38,669, 58,003.50 and 9,485

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Solution

The fourth proportional to 38,669, 58,003.50 and 9,485 is: 14,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,669 : 58,003.50 = 9,485 : x
  2. Step 2: Convert to fraction form
    38,669/58,003.50 = 9,485/x
  3. Step 3: Cross multiply
    38,669x = 58,003.50 × 9,485
  4. Step 4: Simplify right side
    38,669x = 550,163,197.50
  5. Step 5: Solve for x
    x = 550,163,197.50/38,669
  6. Step 6: Final answer
    x = 14,227.50

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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.