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Finding the Fourth Proportional to 9,164.32, 13,713.60 and 7,935.92

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Solution

The fourth proportional to 9,164.32, 13,713.60 and 7,935.92 is: 11,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.32 : 13,713.60 = 7,935.92 : x
  2. Step 2: Convert to fraction form
    9,164.32/13,713.60 = 7,935.92/x
  3. Step 3: Cross multiply
    9,164.32x = 13,713.60 × 7,935.92
  4. Step 4: Simplify right side
    9,164.32x = 108,830,032.51
  5. Step 5: Solve for x
    x = 108,830,032.51/9,164.32
  6. Step 6: Final answer
    x = 11,875.41

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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.