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Finding the Fourth Proportional to 3,895.66, 5,846.06 and 1,430.50

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Solution

The fourth proportional to 3,895.66, 5,846.06 and 1,430.50 is: 2,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.66 : 5,846.06 = 1,430.50 : x
  2. Step 2: Convert to fraction form
    3,895.66/5,846.06 = 1,430.50/x
  3. Step 3: Cross multiply
    3,895.66x = 5,846.06 × 1,430.50
  4. Step 4: Simplify right side
    3,895.66x = 8,362,788.83
  5. Step 5: Solve for x
    x = 8,362,788.83/3,895.66
  6. Step 6: Final answer
    x = 2,146.69

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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.