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Finding the Fourth Proportional to 9,486.52, 13,091.70 and 5,509.18

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Solution

The fourth proportional to 9,486.52, 13,091.70 and 5,509.18 is: 7,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.52 : 13,091.70 = 5,509.18 : x
  2. Step 2: Convert to fraction form
    9,486.52/13,091.70 = 5,509.18/x
  3. Step 3: Cross multiply
    9,486.52x = 13,091.70 × 5,509.18
  4. Step 4: Simplify right side
    9,486.52x = 72,124,531.81
  5. Step 5: Solve for x
    x = 72,124,531.81/9,486.52
  6. Step 6: Final answer
    x = 7,602.84

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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.