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Finding the Fourth Proportional to 19,815.80, 29,715.05 and 7,495.16

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Solution

The fourth proportional to 19,815.80, 29,715.05 and 7,495.16 is: 11,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,815.80 : 29,715.05 = 7,495.16 : x
  2. Step 2: Convert to fraction form
    19,815.80/29,715.05 = 7,495.16/x
  3. Step 3: Cross multiply
    19,815.80x = 29,715.05 × 7,495.16
  4. Step 4: Simplify right side
    19,815.80x = 222,719,054.16
  5. Step 5: Solve for x
    x = 222,719,054.16/19,815.80
  6. Step 6: Final answer
    x = 11,239.47

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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.