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Finding the Fourth Proportional to 4,760.65, 7,135.87 and 1,985.23

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Solution

The fourth proportional to 4,760.65, 7,135.87 and 1,985.23 is: 2,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.65 : 7,135.87 = 1,985.23 : x
  2. Step 2: Convert to fraction form
    4,760.65/7,135.87 = 1,985.23/x
  3. Step 3: Cross multiply
    4,760.65x = 7,135.87 × 1,985.23
  4. Step 4: Simplify right side
    4,760.65x = 14,166,343.20
  5. Step 5: Solve for x
    x = 14,166,343.20/4,760.65
  6. Step 6: Final answer
    x = 2,975.72

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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.