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Finding the Fourth Proportional to 19,898.72, 29,840.88 and 5,854.88

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Solution

The fourth proportional to 19,898.72, 29,840.88 and 5,854.88 is: 8,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.72 : 29,840.88 = 5,854.88 : x
  2. Step 2: Convert to fraction form
    19,898.72/29,840.88 = 5,854.88/x
  3. Step 3: Cross multiply
    19,898.72x = 29,840.88 × 5,854.88
  4. Step 4: Simplify right side
    19,898.72x = 174,714,771.49
  5. Step 5: Solve for x
    x = 174,714,771.49/19,898.72
  6. Step 6: Final answer
    x = 8,780.20

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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.