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Finding the Fourth Proportional to 10,394.15, 14,342.99 and 6,416.55

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Solution

The fourth proportional to 10,394.15, 14,342.99 and 6,416.55 is: 8,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.15 : 14,342.99 = 6,416.55 : x
  2. Step 2: Convert to fraction form
    10,394.15/14,342.99 = 6,416.55/x
  3. Step 3: Cross multiply
    10,394.15x = 14,342.99 × 6,416.55
  4. Step 4: Simplify right side
    10,394.15x = 92,032,480.40
  5. Step 5: Solve for x
    x = 92,032,480.40/10,394.15
  6. Step 6: Final answer
    x = 8,854.26

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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.