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Finding the Fourth Proportional to 18,807.84, 28,208.10 and 7,122

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Solution

The fourth proportional to 18,807.84, 28,208.10 and 7,122 is: 10,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,807.84 : 28,208.10 = 7,122 : x
  2. Step 2: Convert to fraction form
    18,807.84/28,208.10 = 7,122/x
  3. Step 3: Cross multiply
    18,807.84x = 28,208.10 × 7,122
  4. Step 4: Simplify right side
    18,807.84x = 200,898,088.20
  5. Step 5: Solve for x
    x = 200,898,088.20/18,807.84
  6. Step 6: Final answer
    x = 10,681.61

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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.