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Finding the Fourth Proportional to 1,225.84, 1,692.92 and 1,050.16

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Solution

The fourth proportional to 1,225.84, 1,692.92 and 1,050.16 is: 1,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.84 : 1,692.92 = 1,050.16 : x
  2. Step 2: Convert to fraction form
    1,225.84/1,692.92 = 1,050.16/x
  3. Step 3: Cross multiply
    1,225.84x = 1,692.92 × 1,050.16
  4. Step 4: Simplify right side
    1,225.84x = 1,777,836.87
  5. Step 5: Solve for x
    x = 1,777,836.87/1,225.84
  6. Step 6: Final answer
    x = 1,450.30

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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.