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Finding the Fourth Proportional to 4,708.67, 7,064.12 and 1,421.55

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Solution

The fourth proportional to 4,708.67, 7,064.12 and 1,421.55 is: 2,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.67 : 7,064.12 = 1,421.55 : x
  2. Step 2: Convert to fraction form
    4,708.67/7,064.12 = 1,421.55/x
  3. Step 3: Cross multiply
    4,708.67x = 7,064.12 × 1,421.55
  4. Step 4: Simplify right side
    4,708.67x = 10,042,003.34
  5. Step 5: Solve for x
    x = 10,042,003.34/4,708.67
  6. Step 6: Final answer
    x = 2,132.66

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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.