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Finding the Fourth Proportional to 2,547.64, 3,815.81 and 1,958.30

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Solution

The fourth proportional to 2,547.64, 3,815.81 and 1,958.30 is: 2,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.64 : 3,815.81 = 1,958.30 : x
  2. Step 2: Convert to fraction form
    2,547.64/3,815.81 = 1,958.30/x
  3. Step 3: Cross multiply
    2,547.64x = 3,815.81 × 1,958.30
  4. Step 4: Simplify right side
    2,547.64x = 7,472,500.72
  5. Step 5: Solve for x
    x = 7,472,500.72/2,547.64
  6. Step 6: Final answer
    x = 2,933.11

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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.