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Finding the Fourth Proportional to 2,020.84, 3,031.28 and 560.11

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Solution

The fourth proportional to 2,020.84, 3,031.28 and 560.11 is: 840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.84 : 3,031.28 = 560.11 : x
  2. Step 2: Convert to fraction form
    2,020.84/3,031.28 = 560.11/x
  3. Step 3: Cross multiply
    2,020.84x = 3,031.28 × 560.11
  4. Step 4: Simplify right side
    2,020.84x = 1,697,850.24
  5. Step 5: Solve for x
    x = 1,697,850.24/2,020.84
  6. Step 6: Final answer
    x = 840.17

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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.