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Finding the Fourth Proportional to 1,985.10, 2,975.49 and 829.50

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Solution

The fourth proportional to 1,985.10, 2,975.49 and 829.50 is: 1,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.10 : 2,975.49 = 829.50 : x
  2. Step 2: Convert to fraction form
    1,985.10/2,975.49 = 829.50/x
  3. Step 3: Cross multiply
    1,985.10x = 2,975.49 × 829.50
  4. Step 4: Simplify right side
    1,985.10x = 2,468,168.96
  5. Step 5: Solve for x
    x = 2,468,168.96/1,985.10
  6. Step 6: Final answer
    x = 1,243.35

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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.