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Finding the Fourth Proportional to 3,802.40, 5,703.54 and 3,151.76

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Solution

The fourth proportional to 3,802.40, 5,703.54 and 3,151.76 is: 4,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.40 : 5,703.54 = 3,151.76 : x
  2. Step 2: Convert to fraction form
    3,802.40/5,703.54 = 3,151.76/x
  3. Step 3: Cross multiply
    3,802.40x = 5,703.54 × 3,151.76
  4. Step 4: Simplify right side
    3,802.40x = 17,976,189.23
  5. Step 5: Solve for x
    x = 17,976,189.23/3,802.40
  6. Step 6: Final answer
    x = 4,727.59

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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.