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Finding the Fourth Proportional to 11,858.60, 16,363.95 and 6,823.10

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Solution

The fourth proportional to 11,858.60, 16,363.95 and 6,823.10 is: 9,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.60 : 16,363.95 = 6,823.10 : x
  2. Step 2: Convert to fraction form
    11,858.60/16,363.95 = 6,823.10/x
  3. Step 3: Cross multiply
    11,858.60x = 16,363.95 × 6,823.10
  4. Step 4: Simplify right side
    11,858.60x = 111,652,867.25
  5. Step 5: Solve for x
    x = 111,652,867.25/11,858.60
  6. Step 6: Final answer
    x = 9,415.35

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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.