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Finding the Fourth Proportional to 7,406.86, 10,214.85 and 4,887.22

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Solution

The fourth proportional to 7,406.86, 10,214.85 and 4,887.22 is: 6,740.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.86 : 10,214.85 = 4,887.22 : x
  2. Step 2: Convert to fraction form
    7,406.86/10,214.85 = 4,887.22/x
  3. Step 3: Cross multiply
    7,406.86x = 10,214.85 × 4,887.22
  4. Step 4: Simplify right side
    7,406.86x = 49,922,219.22
  5. Step 5: Solve for x
    x = 49,922,219.22/7,406.86
  6. Step 6: Final answer
    x = 6,740.00

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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.