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Finding the Fourth Proportional to 6,102.98, 9,141.71 and 5,060.51

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Solution

The fourth proportional to 6,102.98, 9,141.71 and 5,060.51 is: 7,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.98 : 9,141.71 = 5,060.51 : x
  2. Step 2: Convert to fraction form
    6,102.98/9,141.71 = 5,060.51/x
  3. Step 3: Cross multiply
    6,102.98x = 9,141.71 × 5,060.51
  4. Step 4: Simplify right side
    6,102.98x = 46,261,643.86
  5. Step 5: Solve for x
    x = 46,261,643.86/6,102.98
  6. Step 6: Final answer
    x = 7,580.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.