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Finding the Fourth Proportional to 11,098.21, 15,289.47 and 7,734.91

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Solution

The fourth proportional to 11,098.21, 15,289.47 and 7,734.91 is: 10,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.21 : 15,289.47 = 7,734.91 : x
  2. Step 2: Convert to fraction form
    11,098.21/15,289.47 = 7,734.91/x
  3. Step 3: Cross multiply
    11,098.21x = 15,289.47 × 7,734.91
  4. Step 4: Simplify right side
    11,098.21x = 118,262,674.40
  5. Step 5: Solve for x
    x = 118,262,674.40/11,098.21
  6. Step 6: Final answer
    x = 10,656.01

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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.