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Finding the Fourth Proportional to 30,428.62, 45,643.02 and 9,368.50

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Solution

The fourth proportional to 30,428.62, 45,643.02 and 9,368.50 is: 14,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.62 : 45,643.02 = 9,368.50 : x
  2. Step 2: Convert to fraction form
    30,428.62/45,643.02 = 9,368.50/x
  3. Step 3: Cross multiply
    30,428.62x = 45,643.02 × 9,368.50
  4. Step 4: Simplify right side
    30,428.62x = 427,606,632.87
  5. Step 5: Solve for x
    x = 427,606,632.87/30,428.62
  6. Step 6: Final answer
    x = 14,052.78

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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.