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Finding the Fourth Proportional to 4,868.38, 7,303.80 and 1,405.63

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Solution

The fourth proportional to 4,868.38, 7,303.80 and 1,405.63 is: 2,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.38 : 7,303.80 = 1,405.63 : x
  2. Step 2: Convert to fraction form
    4,868.38/7,303.80 = 1,405.63/x
  3. Step 3: Cross multiply
    4,868.38x = 7,303.80 × 1,405.63
  4. Step 4: Simplify right side
    4,868.38x = 10,266,403.88
  5. Step 5: Solve for x
    x = 10,266,403.88/4,868.38
  6. Step 6: Final answer
    x = 2,108.79

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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.