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Finding the Fourth Proportional to 2,975.00, 4,462.31 and 783.72

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Solution

The fourth proportional to 2,975.00, 4,462.31 and 783.72 is: 1,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.00 : 4,462.31 = 783.72 : x
  2. Step 2: Convert to fraction form
    2,975.00/4,462.31 = 783.72/x
  3. Step 3: Cross multiply
    2,975.00x = 4,462.31 × 783.72
  4. Step 4: Simplify right side
    2,975.00x = 3,497,197.67
  5. Step 5: Solve for x
    x = 3,497,197.67/2,975.00
  6. Step 6: Final answer
    x = 1,175.53

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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.