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Finding the Fourth Proportional to 9,054.88, 13,575 and 8,539.72

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Solution

The fourth proportional to 9,054.88, 13,575 and 8,539.72 is: 12,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.88 : 13,575 = 8,539.72 : x
  2. Step 2: Convert to fraction form
    9,054.88/13,575 = 8,539.72/x
  3. Step 3: Cross multiply
    9,054.88x = 13,575 × 8,539.72
  4. Step 4: Simplify right side
    9,054.88x = 115,926,699.00
  5. Step 5: Solve for x
    x = 115,926,699.00/9,054.88
  6. Step 6: Final answer
    x = 12,802.68

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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.