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Finding the Fourth Proportional to 19,810.14, 29,724.88 and 8,715.44

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Solution

The fourth proportional to 19,810.14, 29,724.88 and 8,715.44 is: 13,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.14 : 29,724.88 = 8,715.44 : x
  2. Step 2: Convert to fraction form
    19,810.14/29,724.88 = 8,715.44/x
  3. Step 3: Cross multiply
    19,810.14x = 29,724.88 × 8,715.44
  4. Step 4: Simplify right side
    19,810.14x = 259,065,312.05
  5. Step 5: Solve for x
    x = 259,065,312.05/19,810.14
  6. Step 6: Final answer
    x = 13,077.41

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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.