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Finding the Fourth Proportional to 3,130.74, 4,700.87 and 1,967.99

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Solution

The fourth proportional to 3,130.74, 4,700.87 and 1,967.99 is: 2,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.74 : 4,700.87 = 1,967.99 : x
  2. Step 2: Convert to fraction form
    3,130.74/4,700.87 = 1,967.99/x
  3. Step 3: Cross multiply
    3,130.74x = 4,700.87 × 1,967.99
  4. Step 4: Simplify right side
    3,130.74x = 9,251,231.81
  5. Step 5: Solve for x
    x = 9,251,231.81/3,130.74
  6. Step 6: Final answer
    x = 2,954.97

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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.