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Finding the Fourth Proportional to 2,415.06, 3,622.19 and 954.09

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Solution

The fourth proportional to 2,415.06, 3,622.19 and 954.09 is: 1,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.06 : 3,622.19 = 954.09 : x
  2. Step 2: Convert to fraction form
    2,415.06/3,622.19 = 954.09/x
  3. Step 3: Cross multiply
    2,415.06x = 3,622.19 × 954.09
  4. Step 4: Simplify right side
    2,415.06x = 3,455,890.49
  5. Step 5: Solve for x
    x = 3,455,890.49/2,415.06
  6. Step 6: Final answer
    x = 1,430.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.