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Finding the Fourth Proportional to 2,598.90, 3,898.31 and 651.09

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Solution

The fourth proportional to 2,598.90, 3,898.31 and 651.09 is: 976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.90 : 3,898.31 = 651.09 : x
  2. Step 2: Convert to fraction form
    2,598.90/3,898.31 = 651.09/x
  3. Step 3: Cross multiply
    2,598.90x = 3,898.31 × 651.09
  4. Step 4: Simplify right side
    2,598.90x = 2,538,162.02
  5. Step 5: Solve for x
    x = 2,538,162.02/2,598.90
  6. Step 6: Final answer
    x = 976.63

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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.