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Finding the Fourth Proportional to 3,091.59, 4,637.40 and 783.09

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Solution

The fourth proportional to 3,091.59, 4,637.40 and 783.09 is: 1,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.59 : 4,637.40 = 783.09 : x
  2. Step 2: Convert to fraction form
    3,091.59/4,637.40 = 783.09/x
  3. Step 3: Cross multiply
    3,091.59x = 4,637.40 × 783.09
  4. Step 4: Simplify right side
    3,091.59x = 3,631,501.57
  5. Step 5: Solve for x
    x = 3,631,501.57/3,091.59
  6. Step 6: Final answer
    x = 1,174.64

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1.5x scale

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.