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Finding the Fourth Proportional to 10,368.12, 14,308.20 and 6,178.80

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Solution

The fourth proportional to 10,368.12, 14,308.20 and 6,178.80 is: 8,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.12 : 14,308.20 = 6,178.80 : x
  2. Step 2: Convert to fraction form
    10,368.12/14,308.20 = 6,178.80/x
  3. Step 3: Cross multiply
    10,368.12x = 14,308.20 × 6,178.80
  4. Step 4: Simplify right side
    10,368.12x = 88,407,506.16
  5. Step 5: Solve for x
    x = 88,407,506.16/10,368.12
  6. Step 6: Final answer
    x = 8,526.86

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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.