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Finding the Fourth Proportional to 30,051, 45,078.93 and 9,274.50

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Solution

The fourth proportional to 30,051, 45,078.93 and 9,274.50 is: 13,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,051 : 45,078.93 = 9,274.50 : x
  2. Step 2: Convert to fraction form
    30,051/45,078.93 = 9,274.50/x
  3. Step 3: Cross multiply
    30,051x = 45,078.93 × 9,274.50
  4. Step 4: Simplify right side
    30,051x = 418,084,536.29
  5. Step 5: Solve for x
    x = 418,084,536.29/30,051
  6. Step 6: Final answer
    x = 13,912.50

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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.