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Finding the Fourth Proportional to 3,743.69, 5,615.51 and 970.36

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Solution

The fourth proportional to 3,743.69, 5,615.51 and 970.36 is: 1,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.69 : 5,615.51 = 970.36 : x
  2. Step 2: Convert to fraction form
    3,743.69/5,615.51 = 970.36/x
  3. Step 3: Cross multiply
    3,743.69x = 5,615.51 × 970.36
  4. Step 4: Simplify right side
    3,743.69x = 5,449,038.21
  5. Step 5: Solve for x
    x = 5,449,038.21/3,743.69
  6. Step 6: Final answer
    x = 1,455.53

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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.