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Finding the Fourth Proportional to 9,650.40, 13,316.40 and 5,671.20

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Solution

The fourth proportional to 9,650.40, 13,316.40 and 5,671.20 is: 7,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.40 : 13,316.40 = 5,671.20 : x
  2. Step 2: Convert to fraction form
    9,650.40/13,316.40 = 5,671.20/x
  3. Step 3: Cross multiply
    9,650.40x = 13,316.40 × 5,671.20
  4. Step 4: Simplify right side
    9,650.40x = 75,519,967.68
  5. Step 5: Solve for x
    x = 75,519,967.68/9,650.40
  6. Step 6: Final answer
    x = 7,825.58

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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.