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Finding the Fourth Proportional to 10,056.78, 13,878.74 and 6,077.13

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Solution

The fourth proportional to 10,056.78, 13,878.74 and 6,077.13 is: 8,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.78 : 13,878.74 = 6,077.13 : x
  2. Step 2: Convert to fraction form
    10,056.78/13,878.74 = 6,077.13/x
  3. Step 3: Cross multiply
    10,056.78x = 13,878.74 × 6,077.13
  4. Step 4: Simplify right side
    10,056.78x = 84,342,876.83
  5. Step 5: Solve for x
    x = 84,342,876.83/10,056.78
  6. Step 6: Final answer
    x = 8,386.67

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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.