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Finding the Fourth Proportional to 9,621, 13,277.10 and 5,429.28

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Solution

The fourth proportional to 9,621, 13,277.10 and 5,429.28 is: 7,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621 : 13,277.10 = 5,429.28 : x
  2. Step 2: Convert to fraction form
    9,621/13,277.10 = 5,429.28/x
  3. Step 3: Cross multiply
    9,621x = 13,277.10 × 5,429.28
  4. Step 4: Simplify right side
    9,621x = 72,085,093.49
  5. Step 5: Solve for x
    x = 72,085,093.49/9,621
  6. Step 6: Final answer
    x = 7,492.47

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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.