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Finding the Fourth Proportional to 30,415.84, 45,623.82 and 9,639.28

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Solution

The fourth proportional to 30,415.84, 45,623.82 and 9,639.28 is: 14,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.84 : 45,623.82 = 9,639.28 : x
  2. Step 2: Convert to fraction form
    30,415.84/45,623.82 = 9,639.28/x
  3. Step 3: Cross multiply
    30,415.84x = 45,623.82 × 9,639.28
  4. Step 4: Simplify right side
    30,415.84x = 439,780,775.65
  5. Step 5: Solve for x
    x = 439,780,775.65/30,415.84
  6. Step 6: Final answer
    x = 14,458.94

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1.5x scale

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.