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Finding the Fourth Proportional to 7,632.90, 10,535.40 and 4,650.75

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Solution

The fourth proportional to 7,632.90, 10,535.40 and 4,650.75 is: 6,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.90 : 10,535.40 = 4,650.75 : x
  2. Step 2: Convert to fraction form
    7,632.90/10,535.40 = 4,650.75/x
  3. Step 3: Cross multiply
    7,632.90x = 10,535.40 × 4,650.75
  4. Step 4: Simplify right side
    7,632.90x = 48,997,511.55
  5. Step 5: Solve for x
    x = 48,997,511.55/7,632.90
  6. Step 6: Final answer
    x = 6,419.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.