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Finding the Fourth Proportional to 9,690, 13,353.52 and 6,890.64

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Solution

The fourth proportional to 9,690, 13,353.52 and 6,890.64 is: 9,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690 : 13,353.52 = 6,890.64 : x
  2. Step 2: Convert to fraction form
    9,690/13,353.52 = 6,890.64/x
  3. Step 3: Cross multiply
    9,690x = 13,353.52 × 6,890.64
  4. Step 4: Simplify right side
    9,690x = 92,014,299.05
  5. Step 5: Solve for x
    x = 92,014,299.05/9,690
  6. Step 6: Final answer
    x = 9,495.80

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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.