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Finding the Fourth Proportional to 2,365.80, 3,546 and 904.32

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Solution

The fourth proportional to 2,365.80, 3,546 and 904.32 is: 1,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.80 : 3,546 = 904.32 : x
  2. Step 2: Convert to fraction form
    2,365.80/3,546 = 904.32/x
  3. Step 3: Cross multiply
    2,365.80x = 3,546 × 904.32
  4. Step 4: Simplify right side
    2,365.80x = 3,206,718.72
  5. Step 5: Solve for x
    x = 3,206,718.72/2,365.80
  6. Step 6: Final answer
    x = 1,355.45

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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.