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Finding the Fourth Proportional to 8,531.64, 11,779.10 and 6,538.52

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Solution

The fourth proportional to 8,531.64, 11,779.10 and 6,538.52 is: 9,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.64 : 11,779.10 = 6,538.52 : x
  2. Step 2: Convert to fraction form
    8,531.64/11,779.10 = 6,538.52/x
  3. Step 3: Cross multiply
    8,531.64x = 11,779.10 × 6,538.52
  4. Step 4: Simplify right side
    8,531.64x = 77,017,880.93
  5. Step 5: Solve for x
    x = 77,017,880.93/8,531.64
  6. Step 6: Final answer
    x = 9,027.32

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Why These Related Problems?

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