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Finding the Fourth Proportional to 9,969.30, 13,750.83 and 6,188.46

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Solution

The fourth proportional to 9,969.30, 13,750.83 and 6,188.46 is: 8,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.30 : 13,750.83 = 6,188.46 : x
  2. Step 2: Convert to fraction form
    9,969.30/13,750.83 = 6,188.46/x
  3. Step 3: Cross multiply
    9,969.30x = 13,750.83 × 6,188.46
  4. Step 4: Simplify right side
    9,969.30x = 85,096,461.42
  5. Step 5: Solve for x
    x = 85,096,461.42/9,969.30
  6. Step 6: Final answer
    x = 8,535.85

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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.