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Finding the Fourth Proportional to 30,393, 45,597.60 and 9,616.50

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Solution

The fourth proportional to 30,393, 45,597.60 and 9,616.50 is: 14,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,393 : 45,597.60 = 9,616.50 : x
  2. Step 2: Convert to fraction form
    30,393/45,597.60 = 9,616.50/x
  3. Step 3: Cross multiply
    30,393x = 45,597.60 × 9,616.50
  4. Step 4: Simplify right side
    30,393x = 438,489,320.40
  5. Step 5: Solve for x
    x = 438,489,320.40/30,393
  6. Step 6: Final answer
    x = 14,427.31

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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.