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Finding the Fourth Proportional to 2,004.47, 3,006.60 and 688.32

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Solution

The fourth proportional to 2,004.47, 3,006.60 and 688.32 is: 1,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.47 : 3,006.60 = 688.32 : x
  2. Step 2: Convert to fraction form
    2,004.47/3,006.60 = 688.32/x
  3. Step 3: Cross multiply
    2,004.47x = 3,006.60 × 688.32
  4. Step 4: Simplify right side
    2,004.47x = 2,069,502.91
  5. Step 5: Solve for x
    x = 2,069,502.91/2,004.47
  6. Step 6: Final answer
    x = 1,032.45

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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.