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Finding the Fourth Proportional to 9,409.70, 12,984.44 and 5,432.09

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Solution

The fourth proportional to 9,409.70, 12,984.44 and 5,432.09 is: 7,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.70 : 12,984.44 = 5,432.09 : x
  2. Step 2: Convert to fraction form
    9,409.70/12,984.44 = 5,432.09/x
  3. Step 3: Cross multiply
    9,409.70x = 12,984.44 × 5,432.09
  4. Step 4: Simplify right side
    9,409.70x = 70,532,692.72
  5. Step 5: Solve for x
    x = 70,532,692.72/9,409.70
  6. Step 6: Final answer
    x = 7,495.74

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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.