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Finding the Fourth Proportional to 10,830.32, 14,945.82 and 6,114.59

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Solution

The fourth proportional to 10,830.32, 14,945.82 and 6,114.59 is: 8,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.32 : 14,945.82 = 6,114.59 : x
  2. Step 2: Convert to fraction form
    10,830.32/14,945.82 = 6,114.59/x
  3. Step 3: Cross multiply
    10,830.32x = 14,945.82 × 6,114.59
  4. Step 4: Simplify right side
    10,830.32x = 91,387,486.78
  5. Step 5: Solve for x
    x = 91,387,486.78/10,830.32
  6. Step 6: Final answer
    x = 8,438.12

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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.