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Finding the Fourth Proportional to 10,289.61, 14,199.93 and 6,308.43

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Solution

The fourth proportional to 10,289.61, 14,199.93 and 6,308.43 is: 8,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.61 : 14,199.93 = 6,308.43 : x
  2. Step 2: Convert to fraction form
    10,289.61/14,199.93 = 6,308.43/x
  3. Step 3: Cross multiply
    10,289.61x = 14,199.93 × 6,308.43
  4. Step 4: Simplify right side
    10,289.61x = 89,579,264.41
  5. Step 5: Solve for x
    x = 89,579,264.41/10,289.61
  6. Step 6: Final answer
    x = 8,705.80

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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.