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Finding the Fourth Proportional to 9,621, 13,276.98 and 5,205

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Solution

The fourth proportional to 9,621, 13,276.98 and 5,205 is: 7,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621 : 13,276.98 = 5,205 : x
  2. Step 2: Convert to fraction form
    9,621/13,276.98 = 5,205/x
  3. Step 3: Cross multiply
    9,621x = 13,276.98 × 5,205
  4. Step 4: Simplify right side
    9,621x = 69,106,680.90
  5. Step 5: Solve for x
    x = 69,106,680.90/9,621
  6. Step 6: Final answer
    x = 7,182.90

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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.