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Finding the Fourth Proportional to 3,415.34, 4,712.94 and 1,923.20

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Solution

The fourth proportional to 3,415.34, 4,712.94 and 1,923.20 is: 2,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.34 : 4,712.94 = 1,923.20 : x
  2. Step 2: Convert to fraction form
    3,415.34/4,712.94 = 1,923.20/x
  3. Step 3: Cross multiply
    3,415.34x = 4,712.94 × 1,923.20
  4. Step 4: Simplify right side
    3,415.34x = 9,063,926.21
  5. Step 5: Solve for x
    x = 9,063,926.21/3,415.34
  6. Step 6: Final answer
    x = 2,653.89

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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.