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Finding the Fourth Proportional to 10,388.66, 14,342.16 and 6,858.07

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Solution

The fourth proportional to 10,388.66, 14,342.16 and 6,858.07 is: 9,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.66 : 14,342.16 = 6,858.07 : x
  2. Step 2: Convert to fraction form
    10,388.66/14,342.16 = 6,858.07/x
  3. Step 3: Cross multiply
    10,388.66x = 14,342.16 × 6,858.07
  4. Step 4: Simplify right side
    10,388.66x = 98,359,527.09
  5. Step 5: Solve for x
    x = 98,359,527.09/10,388.66
  6. Step 6: Final answer
    x = 9,467.98

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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.