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Finding the Fourth Proportional to 9,890.64, 13,648.74 and 5,910.84

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Solution

The fourth proportional to 9,890.64, 13,648.74 and 5,910.84 is: 8,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.64 : 13,648.74 = 5,910.84 : x
  2. Step 2: Convert to fraction form
    9,890.64/13,648.74 = 5,910.84/x
  3. Step 3: Cross multiply
    9,890.64x = 13,648.74 × 5,910.84
  4. Step 4: Simplify right side
    9,890.64x = 80,675,518.34
  5. Step 5: Solve for x
    x = 80,675,518.34/9,890.64
  6. Step 6: Final answer
    x = 8,156.75

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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.