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Finding the Fourth Proportional to 2,323.70, 3,483.40 and 783.62

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Solution

The fourth proportional to 2,323.70, 3,483.40 and 783.62 is: 1,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.70 : 3,483.40 = 783.62 : x
  2. Step 2: Convert to fraction form
    2,323.70/3,483.40 = 783.62/x
  3. Step 3: Cross multiply
    2,323.70x = 3,483.40 × 783.62
  4. Step 4: Simplify right side
    2,323.70x = 2,729,661.91
  5. Step 5: Solve for x
    x = 2,729,661.91/2,323.70
  6. Step 6: Final answer
    x = 1,174.70

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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.