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Finding the Fourth Proportional to 3,869.48, 5,804.24 and 947.79

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Solution

The fourth proportional to 3,869.48, 5,804.24 and 947.79 is: 1,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.48 : 5,804.24 = 947.79 : x
  2. Step 2: Convert to fraction form
    3,869.48/5,804.24 = 947.79/x
  3. Step 3: Cross multiply
    3,869.48x = 5,804.24 × 947.79
  4. Step 4: Simplify right side
    3,869.48x = 5,501,195.89
  5. Step 5: Solve for x
    x = 5,501,195.89/3,869.48
  6. Step 6: Final answer
    x = 1,421.69

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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.