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Finding the Fourth Proportional to 9,760, 13,468.80 and 7,109.64

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Solution

The fourth proportional to 9,760, 13,468.80 and 7,109.64 is: 9,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760 : 13,468.80 = 7,109.64 : x
  2. Step 2: Convert to fraction form
    9,760/13,468.80 = 7,109.64/x
  3. Step 3: Cross multiply
    9,760x = 13,468.80 × 7,109.64
  4. Step 4: Simplify right side
    9,760x = 95,758,319.23
  5. Step 5: Solve for x
    x = 95,758,319.23/9,760
  6. Step 6: Final answer
    x = 9,811.30

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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.