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Finding the Fourth Proportional to 10,857.45, 14,962.80 and 8,701.54

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Solution

The fourth proportional to 10,857.45, 14,962.80 and 8,701.54 is: 11,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.45 : 14,962.80 = 8,701.54 : x
  2. Step 2: Convert to fraction form
    10,857.45/14,962.80 = 8,701.54/x
  3. Step 3: Cross multiply
    10,857.45x = 14,962.80 × 8,701.54
  4. Step 4: Simplify right side
    10,857.45x = 130,199,440.12
  5. Step 5: Solve for x
    x = 130,199,440.12/10,857.45
  6. Step 6: Final answer
    x = 11,991.72

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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.