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Finding the Fourth Proportional to 14,978.46, 20,663.87 and 9,006.60

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Solution

The fourth proportional to 14,978.46, 20,663.87 and 9,006.60 is: 12,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.46 : 20,663.87 = 9,006.60 : x
  2. Step 2: Convert to fraction form
    14,978.46/20,663.87 = 9,006.60/x
  3. Step 3: Cross multiply
    14,978.46x = 20,663.87 × 9,006.60
  4. Step 4: Simplify right side
    14,978.46x = 186,111,166.51
  5. Step 5: Solve for x
    x = 186,111,166.51/14,978.46
  6. Step 6: Final answer
    x = 12,425.25

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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.