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Finding the Fourth Proportional to 1,902.65, 2,854.89 and 1,656.32

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Solution

The fourth proportional to 1,902.65, 2,854.89 and 1,656.32 is: 2,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.65 : 2,854.89 = 1,656.32 : x
  2. Step 2: Convert to fraction form
    1,902.65/2,854.89 = 1,656.32/x
  3. Step 3: Cross multiply
    1,902.65x = 2,854.89 × 1,656.32
  4. Step 4: Simplify right side
    1,902.65x = 4,728,597.13
  5. Step 5: Solve for x
    x = 4,728,597.13/1,902.65
  6. Step 6: Final answer
    x = 2,485.28

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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.