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Finding the Fourth Proportional to 6,445.14, 9,666.99 and 1,828.02

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Solution

The fourth proportional to 6,445.14, 9,666.99 and 1,828.02 is: 2,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.14 : 9,666.99 = 1,828.02 : x
  2. Step 2: Convert to fraction form
    6,445.14/9,666.99 = 1,828.02/x
  3. Step 3: Cross multiply
    6,445.14x = 9,666.99 × 1,828.02
  4. Step 4: Simplify right side
    6,445.14x = 17,671,451.06
  5. Step 5: Solve for x
    x = 17,671,451.06/6,445.14
  6. Step 6: Final answer
    x = 2,741.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.