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Finding the Fourth Proportional to 6,402.44, 9,603.97 and 1,899.05

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Solution

The fourth proportional to 6,402.44, 9,603.97 and 1,899.05 is: 2,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.44 : 9,603.97 = 1,899.05 : x
  2. Step 2: Convert to fraction form
    6,402.44/9,603.97 = 1,899.05/x
  3. Step 3: Cross multiply
    6,402.44x = 9,603.97 × 1,899.05
  4. Step 4: Simplify right side
    6,402.44x = 18,238,366.46
  5. Step 5: Solve for x
    x = 18,238,366.46/6,402.44
  6. Step 6: Final answer
    x = 2,848.66

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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.