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Finding the Fourth Proportional to 2,165.63, 2,987.03 and 2,133.23

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Solution

The fourth proportional to 2,165.63, 2,987.03 and 2,133.23 is: 2,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.63 : 2,987.03 = 2,133.23 : x
  2. Step 2: Convert to fraction form
    2,165.63/2,987.03 = 2,133.23/x
  3. Step 3: Cross multiply
    2,165.63x = 2,987.03 × 2,133.23
  4. Step 4: Simplify right side
    2,165.63x = 6,372,010.81
  5. Step 5: Solve for x
    x = 6,372,010.81/2,165.63
  6. Step 6: Final answer
    x = 2,942.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.