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Finding the Fourth Proportional to 10,235.32, 14,119.98 and 6,456.76

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Solution

The fourth proportional to 10,235.32, 14,119.98 and 6,456.76 is: 8,907.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.32 : 14,119.98 = 6,456.76 : x
  2. Step 2: Convert to fraction form
    10,235.32/14,119.98 = 6,456.76/x
  3. Step 3: Cross multiply
    10,235.32x = 14,119.98 × 6,456.76
  4. Step 4: Simplify right side
    10,235.32x = 91,169,322.06
  5. Step 5: Solve for x
    x = 91,169,322.06/10,235.32
  6. Step 6: Final answer
    x = 8,907.33

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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.