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Finding the Fourth Proportional to 3,089.15, 4,633.74 and 897.89

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Solution

The fourth proportional to 3,089.15, 4,633.74 and 897.89 is: 1,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.15 : 4,633.74 = 897.89 : x
  2. Step 2: Convert to fraction form
    3,089.15/4,633.74 = 897.89/x
  3. Step 3: Cross multiply
    3,089.15x = 4,633.74 × 897.89
  4. Step 4: Simplify right side
    3,089.15x = 4,160,588.81
  5. Step 5: Solve for x
    x = 4,160,588.81/3,089.15
  6. Step 6: Final answer
    x = 1,346.84

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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.