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Finding the Fourth Proportional to 19,820.34, 29,714.83 and 9,818.01

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Solution

The fourth proportional to 19,820.34, 29,714.83 and 9,818.01 is: 14,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.34 : 29,714.83 = 9,818.01 : x
  2. Step 2: Convert to fraction form
    19,820.34/29,714.83 = 9,818.01/x
  3. Step 3: Cross multiply
    19,820.34x = 29,714.83 × 9,818.01
  4. Step 4: Simplify right side
    19,820.34x = 291,740,473.54
  5. Step 5: Solve for x
    x = 291,740,473.54/19,820.34
  6. Step 6: Final answer
    x = 14,719.25

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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.