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Finding the Fourth Proportional to 2,021.47, 3,032.36 and 560.61

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Solution

The fourth proportional to 2,021.47, 3,032.36 and 560.61 is: 840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.47 : 3,032.36 = 560.61 : x
  2. Step 2: Convert to fraction form
    2,021.47/3,032.36 = 560.61/x
  3. Step 3: Cross multiply
    2,021.47x = 3,032.36 × 560.61
  4. Step 4: Simplify right side
    2,021.47x = 1,699,971.34
  5. Step 5: Solve for x
    x = 1,699,971.34/2,021.47
  6. Step 6: Final answer
    x = 840.96

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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.