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Finding the Fourth Proportional to 3,091.60, 4,637.44 and 783.04

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Solution

The fourth proportional to 3,091.60, 4,637.44 and 783.04 is: 1,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.60 : 4,637.44 = 783.04 : x
  2. Step 2: Convert to fraction form
    3,091.60/4,637.44 = 783.04/x
  3. Step 3: Cross multiply
    3,091.60x = 4,637.44 × 783.04
  4. Step 4: Simplify right side
    3,091.60x = 3,631,301.02
  5. Step 5: Solve for x
    x = 3,631,301.02/3,091.60
  6. Step 6: Final answer
    x = 1,174.57

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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.