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Finding the Fourth Proportional to 1,527.62, 2,108.09 and 828.99

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Solution

The fourth proportional to 1,527.62, 2,108.09 and 828.99 is: 1,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.62 : 2,108.09 = 828.99 : x
  2. Step 2: Convert to fraction form
    1,527.62/2,108.09 = 828.99/x
  3. Step 3: Cross multiply
    1,527.62x = 2,108.09 × 828.99
  4. Step 4: Simplify right side
    1,527.62x = 1,747,587.60
  5. Step 5: Solve for x
    x = 1,747,587.60/1,527.62
  6. Step 6: Final answer
    x = 1,144.00

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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.