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Finding the Fourth Proportional to 4,222.68, 6,335.10 and 1,756.68

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Solution

The fourth proportional to 4,222.68, 6,335.10 and 1,756.68 is: 2,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.68 : 6,335.10 = 1,756.68 : x
  2. Step 2: Convert to fraction form
    4,222.68/6,335.10 = 1,756.68/x
  3. Step 3: Cross multiply
    4,222.68x = 6,335.10 × 1,756.68
  4. Step 4: Simplify right side
    4,222.68x = 11,128,743.47
  5. Step 5: Solve for x
    x = 11,128,743.47/4,222.68
  6. Step 6: Final answer
    x = 2,635.47

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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.