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Finding the Fourth Proportional to 11,216.70, 16,823.70 and 4,642.20

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Solution

The fourth proportional to 11,216.70, 16,823.70 and 4,642.20 is: 6,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.70 : 16,823.70 = 4,642.20 : x
  2. Step 2: Convert to fraction form
    11,216.70/16,823.70 = 4,642.20/x
  3. Step 3: Cross multiply
    11,216.70x = 16,823.70 × 4,642.20
  4. Step 4: Simplify right side
    11,216.70x = 78,098,980.14
  5. Step 5: Solve for x
    x = 78,098,980.14/11,216.70
  6. Step 6: Final answer
    x = 6,962.74

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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.