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Finding the Fourth Proportional to 10,894.72, 15,014.28 and 7,745.44

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Solution

The fourth proportional to 10,894.72, 15,014.28 and 7,745.44 is: 10,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.72 : 15,014.28 = 7,745.44 : x
  2. Step 2: Convert to fraction form
    10,894.72/15,014.28 = 7,745.44/x
  3. Step 3: Cross multiply
    10,894.72x = 15,014.28 × 7,745.44
  4. Step 4: Simplify right side
    10,894.72x = 116,292,204.88
  5. Step 5: Solve for x
    x = 116,292,204.88/10,894.72
  6. Step 6: Final answer
    x = 10,674.18

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1.5x scale

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.