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Finding the Fourth Proportional to 1,828.18, 2,741.58 and 657.85

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Solution

The fourth proportional to 1,828.18, 2,741.58 and 657.85 is: 986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.18 : 2,741.58 = 657.85 : x
  2. Step 2: Convert to fraction form
    1,828.18/2,741.58 = 657.85/x
  3. Step 3: Cross multiply
    1,828.18x = 2,741.58 × 657.85
  4. Step 4: Simplify right side
    1,828.18x = 1,803,548.40
  5. Step 5: Solve for x
    x = 1,803,548.40/1,828.18
  6. Step 6: Final answer
    x = 986.53

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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.