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Finding the Fourth Proportional to 6,551.59, 9,827.87 and 1,872.00

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Solution

The fourth proportional to 6,551.59, 9,827.87 and 1,872.00 is: 2,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.59 : 9,827.87 = 1,872.00 : x
  2. Step 2: Convert to fraction form
    6,551.59/9,827.87 = 1,872.00/x
  3. Step 3: Cross multiply
    6,551.59x = 9,827.87 × 1,872.00
  4. Step 4: Simplify right side
    6,551.59x = 18,397,714.14
  5. Step 5: Solve for x
    x = 18,397,714.14/6,551.59
  6. Step 6: Final answer
    x = 2,808.13

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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.