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Finding the Fourth Proportional to 9,307.86, 12,837.06 and 7,895.22

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Solution

The fourth proportional to 9,307.86, 12,837.06 and 7,895.22 is: 10,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.86 : 12,837.06 = 7,895.22 : x
  2. Step 2: Convert to fraction form
    9,307.86/12,837.06 = 7,895.22/x
  3. Step 3: Cross multiply
    9,307.86x = 12,837.06 × 7,895.22
  4. Step 4: Simplify right side
    9,307.86x = 101,351,412.85
  5. Step 5: Solve for x
    x = 101,351,412.85/9,307.86
  6. Step 6: Final answer
    x = 10,888.80

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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.