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Finding the Fourth Proportional to 7,550.76, 10,420.04 and 4,406.96

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Solution

The fourth proportional to 7,550.76, 10,420.04 and 4,406.96 is: 6,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.76 : 10,420.04 = 4,406.96 : x
  2. Step 2: Convert to fraction form
    7,550.76/10,420.04 = 4,406.96/x
  3. Step 3: Cross multiply
    7,550.76x = 10,420.04 × 4,406.96
  4. Step 4: Simplify right side
    7,550.76x = 45,920,699.48
  5. Step 5: Solve for x
    x = 45,920,699.48/7,550.76
  6. Step 6: Final answer
    x = 6,081.60

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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.