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Finding the Fourth Proportional to 2,572.64, 3,551.90 and 2,101.67

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Solution

The fourth proportional to 2,572.64, 3,551.90 and 2,101.67 is: 2,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.64 : 3,551.90 = 2,101.67 : x
  2. Step 2: Convert to fraction form
    2,572.64/3,551.90 = 2,101.67/x
  3. Step 3: Cross multiply
    2,572.64x = 3,551.90 × 2,101.67
  4. Step 4: Simplify right side
    2,572.64x = 7,464,928.54
  5. Step 5: Solve for x
    x = 7,464,928.54/2,572.64
  6. Step 6: Final answer
    x = 2,901.67

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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.