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Finding the Fourth Proportional to 4,762.82, 7,142.40 and 1,990.82

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Solution

The fourth proportional to 4,762.82, 7,142.40 and 1,990.82 is: 2,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.82 : 7,142.40 = 1,990.82 : x
  2. Step 2: Convert to fraction form
    4,762.82/7,142.40 = 1,990.82/x
  3. Step 3: Cross multiply
    4,762.82x = 7,142.40 × 1,990.82
  4. Step 4: Simplify right side
    4,762.82x = 14,219,232.77
  5. Step 5: Solve for x
    x = 14,219,232.77/4,762.82
  6. Step 6: Final answer
    x = 2,985.47

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1.5x scale

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.