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Finding the Fourth Proportional to 3,726.75, 5,590.31 and 953.45

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Solution

The fourth proportional to 3,726.75, 5,590.31 and 953.45 is: 1,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.75 : 5,590.31 = 953.45 : x
  2. Step 2: Convert to fraction form
    3,726.75/5,590.31 = 953.45/x
  3. Step 3: Cross multiply
    3,726.75x = 5,590.31 × 953.45
  4. Step 4: Simplify right side
    3,726.75x = 5,330,056.69
  5. Step 5: Solve for x
    x = 5,330,056.69/3,726.75
  6. Step 6: Final answer
    x = 1,430.22

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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.