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Finding the Fourth Proportional to 9,960, 13,744.80 and 5,984.52

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Solution

The fourth proportional to 9,960, 13,744.80 and 5,984.52 is: 8,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960 : 13,744.80 = 5,984.52 : x
  2. Step 2: Convert to fraction form
    9,960/13,744.80 = 5,984.52/x
  3. Step 3: Cross multiply
    9,960x = 13,744.80 × 5,984.52
  4. Step 4: Simplify right side
    9,960x = 82,256,030.50
  5. Step 5: Solve for x
    x = 82,256,030.50/9,960
  6. Step 6: Final answer
    x = 8,258.64

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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.