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Finding the Fourth Proportional to 2,021.61, 3,032.62 and 560.76

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Solution

The fourth proportional to 2,021.61, 3,032.62 and 560.76 is: 841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.61 : 3,032.62 = 560.76 : x
  2. Step 2: Convert to fraction form
    2,021.61/3,032.62 = 560.76/x
  3. Step 3: Cross multiply
    2,021.61x = 3,032.62 × 560.76
  4. Step 4: Simplify right side
    2,021.61x = 1,700,573.98
  5. Step 5: Solve for x
    x = 1,700,573.98/2,021.61
  6. Step 6: Final answer
    x = 841.20

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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.