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Finding the Fourth Proportional to 4,782.61, 7,172.16 and 1,661.82

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Solution

The fourth proportional to 4,782.61, 7,172.16 and 1,661.82 is: 2,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.61 : 7,172.16 = 1,661.82 : x
  2. Step 2: Convert to fraction form
    4,782.61/7,172.16 = 1,661.82/x
  3. Step 3: Cross multiply
    4,782.61x = 7,172.16 × 1,661.82
  4. Step 4: Simplify right side
    4,782.61x = 11,918,838.93
  5. Step 5: Solve for x
    x = 11,918,838.93/4,782.61
  6. Step 6: Final answer
    x = 2,492.12

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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.