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Finding the Fourth Proportional to 9,756.86, 13,458.56 and 6,222.12

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Solution

The fourth proportional to 9,756.86, 13,458.56 and 6,222.12 is: 8,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.86 : 13,458.56 = 6,222.12 : x
  2. Step 2: Convert to fraction form
    9,756.86/13,458.56 = 6,222.12/x
  3. Step 3: Cross multiply
    9,756.86x = 13,458.56 × 6,222.12
  4. Step 4: Simplify right side
    9,756.86x = 83,740,693.77
  5. Step 5: Solve for x
    x = 83,740,693.77/9,756.86
  6. Step 6: Final answer
    x = 8,582.75

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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.