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Finding the Fourth Proportional to 1,570.05, 2,349 and 1,242

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Solution

The fourth proportional to 1,570.05, 2,349 and 1,242 is: 1,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.05 : 2,349 = 1,242 : x
  2. Step 2: Convert to fraction form
    1,570.05/2,349 = 1,242/x
  3. Step 3: Cross multiply
    1,570.05x = 2,349 × 1,242
  4. Step 4: Simplify right side
    1,570.05x = 2,917,458
  5. Step 5: Solve for x
    x = 2,917,458/1,570.05
  6. Step 6: Final answer
    x = 1,858.19

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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.