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Finding the Fourth Proportional to 2,903.82, 4,007.34 and 1,784.13

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Solution

The fourth proportional to 2,903.82, 4,007.34 and 1,784.13 is: 2,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.82 : 4,007.34 = 1,784.13 : x
  2. Step 2: Convert to fraction form
    2,903.82/4,007.34 = 1,784.13/x
  3. Step 3: Cross multiply
    2,903.82x = 4,007.34 × 1,784.13
  4. Step 4: Simplify right side
    2,903.82x = 7,149,615.51
  5. Step 5: Solve for x
    x = 7,149,615.51/2,903.82
  6. Step 6: Final answer
    x = 2,462.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.