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Finding the Fourth Proportional to 2,897.84, 4,002.86 and 2,221.54

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Solution

The fourth proportional to 2,897.84, 4,002.86 and 2,221.54 is: 3,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.84 : 4,002.86 = 2,221.54 : x
  2. Step 2: Convert to fraction form
    2,897.84/4,002.86 = 2,221.54/x
  3. Step 3: Cross multiply
    2,897.84x = 4,002.86 × 2,221.54
  4. Step 4: Simplify right side
    2,897.84x = 8,892,513.60
  5. Step 5: Solve for x
    x = 8,892,513.60/2,897.84
  6. Step 6: Final answer
    x = 3,068.67

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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.