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Finding the Fourth Proportional to 9,792.50, 13,503.78 and 8,712.41

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Solution

The fourth proportional to 9,792.50, 13,503.78 and 8,712.41 is: 12,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.50 : 13,503.78 = 8,712.41 : x
  2. Step 2: Convert to fraction form
    9,792.50/13,503.78 = 8,712.41/x
  3. Step 3: Cross multiply
    9,792.50x = 13,503.78 × 8,712.41
  4. Step 4: Simplify right side
    9,792.50x = 117,650,400.39
  5. Step 5: Solve for x
    x = 117,650,400.39/9,792.50
  6. Step 6: Final answer
    x = 12,014.34

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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.