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Finding the Fourth Proportional to 6,113.75, 8,444.88 and 5,055.78

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Solution

The fourth proportional to 6,113.75, 8,444.88 and 5,055.78 is: 6,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.75 : 8,444.88 = 5,055.78 : x
  2. Step 2: Convert to fraction form
    6,113.75/8,444.88 = 5,055.78/x
  3. Step 3: Cross multiply
    6,113.75x = 8,444.88 × 5,055.78
  4. Step 4: Simplify right side
    6,113.75x = 42,695,455.41
  5. Step 5: Solve for x
    x = 42,695,455.41/6,113.75
  6. Step 6: Final answer
    x = 6,983.52

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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.