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Finding the Fourth Proportional to 28,203, 42,305.18 and 9,483.28

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Solution

The fourth proportional to 28,203, 42,305.18 and 9,483.28 is: 14,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,203 : 42,305.18 = 9,483.28 : x
  2. Step 2: Convert to fraction form
    28,203/42,305.18 = 9,483.28/x
  3. Step 3: Cross multiply
    28,203x = 42,305.18 × 9,483.28
  4. Step 4: Simplify right side
    28,203x = 401,191,867.39
  5. Step 5: Solve for x
    x = 401,191,867.39/28,203
  6. Step 6: Final answer
    x = 14,225.15

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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.