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Finding the Fourth Proportional to 20,802.78, 28,706.16 and 11,848.50

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Solution

The fourth proportional to 20,802.78, 28,706.16 and 11,848.50 is: 16,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.78 : 28,706.16 = 11,848.50 : x
  2. Step 2: Convert to fraction form
    20,802.78/28,706.16 = 11,848.50/x
  3. Step 3: Cross multiply
    20,802.78x = 28,706.16 × 11,848.50
  4. Step 4: Simplify right side
    20,802.78x = 340,124,936.76
  5. Step 5: Solve for x
    x = 340,124,936.76/20,802.78
  6. Step 6: Final answer
    x = 16,349.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.