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Finding the Fourth Proportional to 9,657.79, 13,324.64 and 5,408.21

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Solution

The fourth proportional to 9,657.79, 13,324.64 and 5,408.21 is: 7,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.79 : 13,324.64 = 5,408.21 : x
  2. Step 2: Convert to fraction form
    9,657.79/13,324.64 = 5,408.21/x
  3. Step 3: Cross multiply
    9,657.79x = 13,324.64 × 5,408.21
  4. Step 4: Simplify right side
    9,657.79x = 72,062,457.56
  5. Step 5: Solve for x
    x = 72,062,457.56/9,657.79
  6. Step 6: Final answer
    x = 7,461.59

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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.