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Finding the Fourth Proportional to 1,051.35, 1,575.47 and 936.01

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Solution

The fourth proportional to 1,051.35, 1,575.47 and 936.01 is: 1,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.35 : 1,575.47 = 936.01 : x
  2. Step 2: Convert to fraction form
    1,051.35/1,575.47 = 936.01/x
  3. Step 3: Cross multiply
    1,051.35x = 1,575.47 × 936.01
  4. Step 4: Simplify right side
    1,051.35x = 1,474,659.98
  5. Step 5: Solve for x
    x = 1,474,659.98/1,051.35
  6. Step 6: Final answer
    x = 1,402.64

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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.