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Finding the Fourth Proportional to 1,235.89, 1,861.16 and 1,075.51

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Solution

The fourth proportional to 1,235.89, 1,861.16 and 1,075.51 is: 1,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.89 : 1,861.16 = 1,075.51 : x
  2. Step 2: Convert to fraction form
    1,235.89/1,861.16 = 1,075.51/x
  3. Step 3: Cross multiply
    1,235.89x = 1,861.16 × 1,075.51
  4. Step 4: Simplify right side
    1,235.89x = 2,001,681.51
  5. Step 5: Solve for x
    x = 2,001,681.51/1,235.89
  6. Step 6: Final answer
    x = 1,619.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.