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Finding the Fourth Proportional to 2,666.84, 4,023.51 and 2,659.64

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Solution

The fourth proportional to 2,666.84, 4,023.51 and 2,659.64 is: 4,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.84 : 4,023.51 = 2,659.64 : x
  2. Step 2: Convert to fraction form
    2,666.84/4,023.51 = 2,659.64/x
  3. Step 3: Cross multiply
    2,666.84x = 4,023.51 × 2,659.64
  4. Step 4: Simplify right side
    2,666.84x = 10,701,088.14
  5. Step 5: Solve for x
    x = 10,701,088.14/2,666.84
  6. Step 6: Final answer
    x = 4,012.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.