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Finding the Fourth Proportional to 1,537.42, 2,121.63 and 838.79

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Solution

The fourth proportional to 1,537.42, 2,121.63 and 838.79 is: 1,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.42 : 2,121.63 = 838.79 : x
  2. Step 2: Convert to fraction form
    1,537.42/2,121.63 = 838.79/x
  3. Step 3: Cross multiply
    1,537.42x = 2,121.63 × 838.79
  4. Step 4: Simplify right side
    1,537.42x = 1,779,602.03
  5. Step 5: Solve for x
    x = 1,779,602.03/1,537.42
  6. Step 6: Final answer
    x = 1,157.53

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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.