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Finding the Fourth Proportional to 2,547, 3,823.22 and 1,086.84

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Solution

The fourth proportional to 2,547, 3,823.22 and 1,086.84 is: 1,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 3,823.22 = 1,086.84 : x
  2. Step 2: Convert to fraction form
    2,547/3,823.22 = 1,086.84/x
  3. Step 3: Cross multiply
    2,547x = 3,823.22 × 1,086.84
  4. Step 4: Simplify right side
    2,547x = 4,155,228.42
  5. Step 5: Solve for x
    x = 4,155,228.42/2,547
  6. Step 6: Final answer
    x = 1,631.42

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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.