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Finding the Fourth Proportional to 3,235.77, 4,852.62 and 1,044

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Solution

The fourth proportional to 3,235.77, 4,852.62 and 1,044 is: 1,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.77 : 4,852.62 = 1,044 : x
  2. Step 2: Convert to fraction form
    3,235.77/4,852.62 = 1,044/x
  3. Step 3: Cross multiply
    3,235.77x = 4,852.62 × 1,044
  4. Step 4: Simplify right side
    3,235.77x = 5,066,135.28
  5. Step 5: Solve for x
    x = 5,066,135.28/3,235.77
  6. Step 6: Final answer
    x = 1,565.67

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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.