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Finding the Fourth Proportional to 8,530.43, 11,779.26 and 5,349.07

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Solution

The fourth proportional to 8,530.43, 11,779.26 and 5,349.07 is: 7,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.43 : 11,779.26 = 5,349.07 : x
  2. Step 2: Convert to fraction form
    8,530.43/11,779.26 = 5,349.07/x
  3. Step 3: Cross multiply
    8,530.43x = 11,779.26 × 5,349.07
  4. Step 4: Simplify right side
    8,530.43x = 63,008,080.95
  5. Step 5: Solve for x
    x = 63,008,080.95/8,530.43
  6. Step 6: Final answer
    x = 7,386.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.