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Finding the Fourth Proportional to 1,755.76, 2,421.90 and 1,057

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Solution

The fourth proportional to 1,755.76, 2,421.90 and 1,057 is: 1,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.76 : 2,421.90 = 1,057 : x
  2. Step 2: Convert to fraction form
    1,755.76/2,421.90 = 1,057/x
  3. Step 3: Cross multiply
    1,755.76x = 2,421.90 × 1,057
  4. Step 4: Simplify right side
    1,755.76x = 2,559,948.30
  5. Step 5: Solve for x
    x = 2,559,948.30/1,755.76
  6. Step 6: Final answer
    x = 1,458.03

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Why These Related Problems?

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