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Finding the Fourth Proportional to 1,923.62, 2,886.62 and 690.93

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Solution

The fourth proportional to 1,923.62, 2,886.62 and 690.93 is: 1,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.62 : 2,886.62 = 690.93 : x
  2. Step 2: Convert to fraction form
    1,923.62/2,886.62 = 690.93/x
  3. Step 3: Cross multiply
    1,923.62x = 2,886.62 × 690.93
  4. Step 4: Simplify right side
    1,923.62x = 1,994,448.90
  5. Step 5: Solve for x
    x = 1,994,448.90/1,923.62
  6. Step 6: Final answer
    x = 1,036.82

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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.