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Finding the Fourth Proportional to 9,905.12, 14,857.68 and 4,709.60

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Solution

The fourth proportional to 9,905.12, 14,857.68 and 4,709.60 is: 7,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.12 : 14,857.68 = 4,709.60 : x
  2. Step 2: Convert to fraction form
    9,905.12/14,857.68 = 4,709.60/x
  3. Step 3: Cross multiply
    9,905.12x = 14,857.68 × 4,709.60
  4. Step 4: Simplify right side
    9,905.12x = 69,973,729.73
  5. Step 5: Solve for x
    x = 69,973,729.73/9,905.12
  6. Step 6: Final answer
    x = 7,064.40

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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.