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Finding the Fourth Proportional to 30,390.84, 45,584.82 and 9,329.94

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Solution

The fourth proportional to 30,390.84, 45,584.82 and 9,329.94 is: 13,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,390.84 : 45,584.82 = 9,329.94 : x
  2. Step 2: Convert to fraction form
    30,390.84/45,584.82 = 9,329.94/x
  3. Step 3: Cross multiply
    30,390.84x = 45,584.82 × 9,329.94
  4. Step 4: Simplify right side
    30,390.84x = 425,303,635.51
  5. Step 5: Solve for x
    x = 425,303,635.51/30,390.84
  6. Step 6: Final answer
    x = 13,994.47

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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.