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Finding the Fourth Proportional to 6,114.93, 8,423.48 and 5,215.74

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Solution

The fourth proportional to 6,114.93, 8,423.48 and 5,215.74 is: 7,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.93 : 8,423.48 = 5,215.74 : x
  2. Step 2: Convert to fraction form
    6,114.93/8,423.48 = 5,215.74/x
  3. Step 3: Cross multiply
    6,114.93x = 8,423.48 × 5,215.74
  4. Step 4: Simplify right side
    6,114.93x = 43,934,681.58
  5. Step 5: Solve for x
    x = 43,934,681.58/6,114.93
  6. Step 6: Final answer
    x = 7,184.82

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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.