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Finding the Fourth Proportional to 9,703.64, 13,390.62 and 5,512.12

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Solution

The fourth proportional to 9,703.64, 13,390.62 and 5,512.12 is: 7,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.64 : 13,390.62 = 5,512.12 : x
  2. Step 2: Convert to fraction form
    9,703.64/13,390.62 = 5,512.12/x
  3. Step 3: Cross multiply
    9,703.64x = 13,390.62 × 5,512.12
  4. Step 4: Simplify right side
    9,703.64x = 73,810,704.31
  5. Step 5: Solve for x
    x = 73,810,704.31/9,703.64
  6. Step 6: Final answer
    x = 7,606.50

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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.