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Finding the Fourth Proportional to 9,720, 13,414.08 and 5,528.64

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Solution

The fourth proportional to 9,720, 13,414.08 and 5,528.64 is: 7,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 13,414.08 = 5,528.64 : x
  2. Step 2: Convert to fraction form
    9,720/13,414.08 = 5,528.64/x
  3. Step 3: Cross multiply
    9,720x = 13,414.08 × 5,528.64
  4. Step 4: Simplify right side
    9,720x = 74,161,619.25
  5. Step 5: Solve for x
    x = 74,161,619.25/9,720
  6. Step 6: Final answer
    x = 7,629.80

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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.