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Finding the Fourth Proportional to 2,547.97, 3,822.50 and 817.81

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Solution

The fourth proportional to 2,547.97, 3,822.50 and 817.81 is: 1,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.97 : 3,822.50 = 817.81 : x
  2. Step 2: Convert to fraction form
    2,547.97/3,822.50 = 817.81/x
  3. Step 3: Cross multiply
    2,547.97x = 3,822.50 × 817.81
  4. Step 4: Simplify right side
    2,547.97x = 3,126,074.64
  5. Step 5: Solve for x
    x = 3,126,074.64/2,547.97
  6. Step 6: Final answer
    x = 1,226.89

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1.5x scale

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.