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Finding the Fourth Proportional to 11,142.71, 15,376.95 and 6,106.89

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Solution

The fourth proportional to 11,142.71, 15,376.95 and 6,106.89 is: 8,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.71 : 15,376.95 = 6,106.89 : x
  2. Step 2: Convert to fraction form
    11,142.71/15,376.95 = 6,106.89/x
  3. Step 3: Cross multiply
    11,142.71x = 15,376.95 × 6,106.89
  4. Step 4: Simplify right side
    11,142.71x = 93,905,342.19
  5. Step 5: Solve for x
    x = 93,905,342.19/11,142.71
  6. Step 6: Final answer
    x = 8,427.52

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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.