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Finding the Fourth Proportional to 10,398.61, 14,351.07 and 5,683.60

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Solution

The fourth proportional to 10,398.61, 14,351.07 and 5,683.60 is: 7,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.61 : 14,351.07 = 5,683.60 : x
  2. Step 2: Convert to fraction form
    10,398.61/14,351.07 = 5,683.60/x
  3. Step 3: Cross multiply
    10,398.61x = 14,351.07 × 5,683.60
  4. Step 4: Simplify right side
    10,398.61x = 81,565,741.45
  5. Step 5: Solve for x
    x = 81,565,741.45/10,398.61
  6. Step 6: Final answer
    x = 7,843.91

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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.