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Finding the Fourth Proportional to 8,774.28, 12,106.98 and 5,237.28

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Solution

The fourth proportional to 8,774.28, 12,106.98 and 5,237.28 is: 7,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.28 : 12,106.98 = 5,237.28 : x
  2. Step 2: Convert to fraction form
    8,774.28/12,106.98 = 5,237.28/x
  3. Step 3: Cross multiply
    8,774.28x = 12,106.98 × 5,237.28
  4. Step 4: Simplify right side
    8,774.28x = 63,407,644.21
  5. Step 5: Solve for x
    x = 63,407,644.21/8,774.28
  6. Step 6: Final answer
    x = 7,226.54

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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.