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Finding the Fourth Proportional to 7,303.55, 10,078.73 and 4,116.78

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Solution

The fourth proportional to 7,303.55, 10,078.73 and 4,116.78 is: 5,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.55 : 10,078.73 = 4,116.78 : x
  2. Step 2: Convert to fraction form
    7,303.55/10,078.73 = 4,116.78/x
  3. Step 3: Cross multiply
    7,303.55x = 10,078.73 × 4,116.78
  4. Step 4: Simplify right side
    7,303.55x = 41,491,924.38
  5. Step 5: Solve for x
    x = 41,491,924.38/7,303.55
  6. Step 6: Final answer
    x = 5,681.07

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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.