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Finding the Fourth Proportional to 2,570.41, 3,547.75 and 1,672.57

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Solution

The fourth proportional to 2,570.41, 3,547.75 and 1,672.57 is: 2,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.41 : 3,547.75 = 1,672.57 : x
  2. Step 2: Convert to fraction form
    2,570.41/3,547.75 = 1,672.57/x
  3. Step 3: Cross multiply
    2,570.41x = 3,547.75 × 1,672.57
  4. Step 4: Simplify right side
    2,570.41x = 5,933,843.65
  5. Step 5: Solve for x
    x = 5,933,843.65/2,570.41
  6. Step 6: Final answer
    x = 2,308.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.