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Finding the Fourth Proportional to 9,908, 13,672.64 and 5,931.32

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Solution

The fourth proportional to 9,908, 13,672.64 and 5,931.32 is: 8,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908 : 13,672.64 = 5,931.32 : x
  2. Step 2: Convert to fraction form
    9,908/13,672.64 = 5,931.32/x
  3. Step 3: Cross multiply
    9,908x = 13,672.64 × 5,931.32
  4. Step 4: Simplify right side
    9,908x = 81,096,803.08
  5. Step 5: Solve for x
    x = 81,096,803.08/9,908
  6. Step 6: Final answer
    x = 8,184.98

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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.