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Finding the Fourth Proportional to 4,651.92, 6,978.64 and 1,365.12

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Solution

The fourth proportional to 4,651.92, 6,978.64 and 1,365.12 is: 2,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.92 : 6,978.64 = 1,365.12 : x
  2. Step 2: Convert to fraction form
    4,651.92/6,978.64 = 1,365.12/x
  3. Step 3: Cross multiply
    4,651.92x = 6,978.64 × 1,365.12
  4. Step 4: Simplify right side
    4,651.92x = 9,526,681.04
  5. Step 5: Solve for x
    x = 9,526,681.04/4,651.92
  6. Step 6: Final answer
    x = 2,047.90

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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.