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Finding the Fourth Proportional to 2,011.50, 2,773.02 and 1,776.60

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Solution

The fourth proportional to 2,011.50, 2,773.02 and 1,776.60 is: 2,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.50 : 2,773.02 = 1,776.60 : x
  2. Step 2: Convert to fraction form
    2,011.50/2,773.02 = 1,776.60/x
  3. Step 3: Cross multiply
    2,011.50x = 2,773.02 × 1,776.60
  4. Step 4: Simplify right side
    2,011.50x = 4,926,547.33
  5. Step 5: Solve for x
    x = 4,926,547.33/2,011.50
  6. Step 6: Final answer
    x = 2,449.19

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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.