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Finding the Fourth Proportional to 9,458.56, 13,051.20 and 5,266

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Solution

The fourth proportional to 9,458.56, 13,051.20 and 5,266 is: 7,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.56 : 13,051.20 = 5,266 : x
  2. Step 2: Convert to fraction form
    9,458.56/13,051.20 = 5,266/x
  3. Step 3: Cross multiply
    9,458.56x = 13,051.20 × 5,266
  4. Step 4: Simplify right side
    9,458.56x = 68,727,619.20
  5. Step 5: Solve for x
    x = 68,727,619.20/9,458.56
  6. Step 6: Final answer
    x = 7,266.18

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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.