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Finding the Fourth Proportional to 10,862.94, 16,303.07 and 9,321.11

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Solution

The fourth proportional to 10,862.94, 16,303.07 and 9,321.11 is: 13,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.94 : 16,303.07 = 9,321.11 : x
  2. Step 2: Convert to fraction form
    10,862.94/16,303.07 = 9,321.11/x
  3. Step 3: Cross multiply
    10,862.94x = 16,303.07 × 9,321.11
  4. Step 4: Simplify right side
    10,862.94x = 151,962,711.73
  5. Step 5: Solve for x
    x = 151,962,711.73/10,862.94
  6. Step 6: Final answer
    x = 13,989.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.