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Finding the Fourth Proportional to 19,710.78, 29,574.36 and 9,847.41

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Solution

The fourth proportional to 19,710.78, 29,574.36 and 9,847.41 is: 14,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.78 : 29,574.36 = 9,847.41 : x
  2. Step 2: Convert to fraction form
    19,710.78/29,574.36 = 9,847.41/x
  3. Step 3: Cross multiply
    19,710.78x = 29,574.36 × 9,847.41
  4. Step 4: Simplify right side
    19,710.78x = 291,230,848.41
  5. Step 5: Solve for x
    x = 291,230,848.41/19,710.78
  6. Step 6: Final answer
    x = 14,775.21

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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.