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Finding the Fourth Proportional to 2,124.51, 3,186.62 and 663.63

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Solution

The fourth proportional to 2,124.51, 3,186.62 and 663.63 is: 995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.51 : 3,186.62 = 663.63 : x
  2. Step 2: Convert to fraction form
    2,124.51/3,186.62 = 663.63/x
  3. Step 3: Cross multiply
    2,124.51x = 3,186.62 × 663.63
  4. Step 4: Simplify right side
    2,124.51x = 2,114,736.63
  5. Step 5: Solve for x
    x = 2,114,736.63/2,124.51
  6. Step 6: Final answer
    x = 995.40

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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.