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Finding the Fourth Proportional to 9,832.64, 14,749.76 and 3,989.60

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Solution

The fourth proportional to 9,832.64, 14,749.76 and 3,989.60 is: 5,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.64 : 14,749.76 = 3,989.60 : x
  2. Step 2: Convert to fraction form
    9,832.64/14,749.76 = 3,989.60/x
  3. Step 3: Cross multiply
    9,832.64x = 14,749.76 × 3,989.60
  4. Step 4: Simplify right side
    9,832.64x = 58,845,642.50
  5. Step 5: Solve for x
    x = 58,845,642.50/9,832.64
  6. Step 6: Final answer
    x = 5,984.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.