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Finding the Fourth Proportional to 28,207.84, 42,315.36 and 9,479.84

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Solution

The fourth proportional to 28,207.84, 42,315.36 and 9,479.84 is: 14,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,207.84 : 42,315.36 = 9,479.84 : x
  2. Step 2: Convert to fraction form
    28,207.84/42,315.36 = 9,479.84/x
  3. Step 3: Cross multiply
    28,207.84x = 42,315.36 × 9,479.84
  4. Step 4: Simplify right side
    28,207.84x = 401,142,842.34
  5. Step 5: Solve for x
    x = 401,142,842.34/28,207.84
  6. Step 6: Final answer
    x = 14,220.97

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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.