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Finding the Fourth Proportional to 10,338.76, 14,257 and 8,851.60

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Solution

The fourth proportional to 10,338.76, 14,257 and 8,851.60 is: 12,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.76 : 14,257 = 8,851.60 : x
  2. Step 2: Convert to fraction form
    10,338.76/14,257 = 8,851.60/x
  3. Step 3: Cross multiply
    10,338.76x = 14,257 × 8,851.60
  4. Step 4: Simplify right side
    10,338.76x = 126,197,261.20
  5. Step 5: Solve for x
    x = 126,197,261.20/10,338.76
  6. Step 6: Final answer
    x = 12,206.23

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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.