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Finding the Fourth Proportional to 9,602.55, 13,249.20 and 5,410.80

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Solution

The fourth proportional to 9,602.55, 13,249.20 and 5,410.80 is: 7,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.55 : 13,249.20 = 5,410.80 : x
  2. Step 2: Convert to fraction form
    9,602.55/13,249.20 = 5,410.80/x
  3. Step 3: Cross multiply
    9,602.55x = 13,249.20 × 5,410.80
  4. Step 4: Simplify right side
    9,602.55x = 71,688,771.36
  5. Step 5: Solve for x
    x = 71,688,771.36/9,602.55
  6. Step 6: Final answer
    x = 7,465.60

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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.