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Finding the Fourth Proportional to 10,894.35, 15,035.22 and 6,419.49

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Solution

The fourth proportional to 10,894.35, 15,035.22 and 6,419.49 is: 8,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.35 : 15,035.22 = 6,419.49 : x
  2. Step 2: Convert to fraction form
    10,894.35/15,035.22 = 6,419.49/x
  3. Step 3: Cross multiply
    10,894.35x = 15,035.22 × 6,419.49
  4. Step 4: Simplify right side
    10,894.35x = 96,518,444.44
  5. Step 5: Solve for x
    x = 96,518,444.44/10,894.35
  6. Step 6: Final answer
    x = 8,859.50

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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.