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Finding the Fourth Proportional to 9,431.84, 14,143.64 and 4,748.88

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Solution

The fourth proportional to 9,431.84, 14,143.64 and 4,748.88 is: 7,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.84 : 14,143.64 = 4,748.88 : x
  2. Step 2: Convert to fraction form
    9,431.84/14,143.64 = 4,748.88/x
  3. Step 3: Cross multiply
    9,431.84x = 14,143.64 × 4,748.88
  4. Step 4: Simplify right side
    9,431.84x = 67,166,449.12
  5. Step 5: Solve for x
    x = 67,166,449.12/9,431.84
  6. Step 6: Final answer
    x = 7,121.25

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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.