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Finding the Fourth Proportional to 4,294.35, 6,440.22 and 1,953

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Solution

The fourth proportional to 4,294.35, 6,440.22 and 1,953 is: 2,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.35 : 6,440.22 = 1,953 : x
  2. Step 2: Convert to fraction form
    4,294.35/6,440.22 = 1,953/x
  3. Step 3: Cross multiply
    4,294.35x = 6,440.22 × 1,953
  4. Step 4: Simplify right side
    4,294.35x = 12,577,749.66
  5. Step 5: Solve for x
    x = 12,577,749.66/4,294.35
  6. Step 6: Final answer
    x = 2,928.91

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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.