Home / 3,848-5,312.80-2,378.56

Finding the Fourth Proportional to 3,848, 5,312.80 and 2,378.56

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Solution

The fourth proportional to 3,848, 5,312.80 and 2,378.56 is: 3,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848 : 5,312.80 = 2,378.56 : x
  2. Step 2: Convert to fraction form
    3,848/5,312.80 = 2,378.56/x
  3. Step 3: Cross multiply
    3,848x = 5,312.80 × 2,378.56
  4. Step 4: Simplify right side
    3,848x = 12,636,813.57
  5. Step 5: Solve for x
    x = 12,636,813.57/3,848
  6. Step 6: Final answer
    x = 3,284.00

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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.