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Finding the Fourth Proportional to 2,748.51, 4,122.63 and 1,017

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Solution

The fourth proportional to 2,748.51, 4,122.63 and 1,017 is: 1,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.51 : 4,122.63 = 1,017 : x
  2. Step 2: Convert to fraction form
    2,748.51/4,122.63 = 1,017/x
  3. Step 3: Cross multiply
    2,748.51x = 4,122.63 × 1,017
  4. Step 4: Simplify right side
    2,748.51x = 4,192,714.71
  5. Step 5: Solve for x
    x = 4,192,714.71/2,748.51
  6. Step 6: Final answer
    x = 1,525.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.