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Finding the Fourth Proportional to 1,830.17, 2,525.64 and 990.88

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Solution

The fourth proportional to 1,830.17, 2,525.64 and 990.88 is: 1,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.17 : 2,525.64 = 990.88 : x
  2. Step 2: Convert to fraction form
    1,830.17/2,525.64 = 990.88/x
  3. Step 3: Cross multiply
    1,830.17x = 2,525.64 × 990.88
  4. Step 4: Simplify right side
    1,830.17x = 2,502,606.16
  5. Step 5: Solve for x
    x = 2,502,606.16/1,830.17
  6. Step 6: Final answer
    x = 1,367.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.