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Finding the Fourth Proportional to 6,078, 8,386.44 and 3,718.46

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Solution

The fourth proportional to 6,078, 8,386.44 and 3,718.46 is: 5,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078 : 8,386.44 = 3,718.46 : x
  2. Step 2: Convert to fraction form
    6,078/8,386.44 = 3,718.46/x
  3. Step 3: Cross multiply
    6,078x = 8,386.44 × 3,718.46
  4. Step 4: Simplify right side
    6,078x = 31,184,641.68
  5. Step 5: Solve for x
    x = 31,184,641.68/6,078
  6. Step 6: Final answer
    x = 5,130.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.