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Finding the Fourth Proportional to 2,533.49, 3,797.63 and 973.07

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Solution

The fourth proportional to 2,533.49, 3,797.63 and 973.07 is: 1,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.49 : 3,797.63 = 973.07 : x
  2. Step 2: Convert to fraction form
    2,533.49/3,797.63 = 973.07/x
  3. Step 3: Cross multiply
    2,533.49x = 3,797.63 × 973.07
  4. Step 4: Simplify right side
    2,533.49x = 3,695,335.97
  5. Step 5: Solve for x
    x = 3,695,335.97/2,533.49
  6. Step 6: Final answer
    x = 1,458.60

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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.