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Finding the Fourth Proportional to 7,054.08, 9,734.36 and 4,069.50

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Solution

The fourth proportional to 7,054.08, 9,734.36 and 4,069.50 is: 5,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.08 : 9,734.36 = 4,069.50 : x
  2. Step 2: Convert to fraction form
    7,054.08/9,734.36 = 4,069.50/x
  3. Step 3: Cross multiply
    7,054.08x = 9,734.36 × 4,069.50
  4. Step 4: Simplify right side
    7,054.08x = 39,613,957.67
  5. Step 5: Solve for x
    x = 39,613,957.67/7,054.08
  6. Step 6: Final answer
    x = 5,615.75

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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.