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Finding the Fourth Proportional to 1,603.84, 2,213.07 and 974.50

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Solution

The fourth proportional to 1,603.84, 2,213.07 and 974.50 is: 1,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.84 : 2,213.07 = 974.50 : x
  2. Step 2: Convert to fraction form
    1,603.84/2,213.07 = 974.50/x
  3. Step 3: Cross multiply
    1,603.84x = 2,213.07 × 974.50
  4. Step 4: Simplify right side
    1,603.84x = 2,156,625.65
  5. Step 5: Solve for x
    x = 2,156,625.65/1,603.84
  6. Step 6: Final answer
    x = 1,344.67

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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.