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Finding the Fourth Proportional to 2,580.32, 3,560.82 and 2,206.82

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Solution

The fourth proportional to 2,580.32, 3,560.82 and 2,206.82 is: 3,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.32 : 3,560.82 = 2,206.82 : x
  2. Step 2: Convert to fraction form
    2,580.32/3,560.82 = 2,206.82/x
  3. Step 3: Cross multiply
    2,580.32x = 3,560.82 × 2,206.82
  4. Step 4: Simplify right side
    2,580.32x = 7,858,088.79
  5. Step 5: Solve for x
    x = 7,858,088.79/2,580.32
  6. Step 6: Final answer
    x = 3,045.39

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1.5x scale

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.