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Finding the Fourth Proportional to 1,881.48, 2,818.11 and 1,059.30

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Solution

The fourth proportional to 1,881.48, 2,818.11 and 1,059.30 is: 1,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.48 : 2,818.11 = 1,059.30 : x
  2. Step 2: Convert to fraction form
    1,881.48/2,818.11 = 1,059.30/x
  3. Step 3: Cross multiply
    1,881.48x = 2,818.11 × 1,059.30
  4. Step 4: Simplify right side
    1,881.48x = 2,985,223.92
  5. Step 5: Solve for x
    x = 2,985,223.92/1,881.48
  6. Step 6: Final answer
    x = 1,586.64

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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.