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Finding the Fourth Proportional to 9,455, 13,051.14 and 5,729

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Solution

The fourth proportional to 9,455, 13,051.14 and 5,729 is: 7,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455 : 13,051.14 = 5,729 : x
  2. Step 2: Convert to fraction form
    9,455/13,051.14 = 5,729/x
  3. Step 3: Cross multiply
    9,455x = 13,051.14 × 5,729
  4. Step 4: Simplify right side
    9,455x = 74,769,981.06
  5. Step 5: Solve for x
    x = 74,769,981.06/9,455
  6. Step 6: Final answer
    x = 7,907.98

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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.