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Finding the Fourth Proportional to 13,000.96, 19,485.12 and 7,458.88

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Solution

The fourth proportional to 13,000.96, 19,485.12 and 7,458.88 is: 11,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.96 : 19,485.12 = 7,458.88 : x
  2. Step 2: Convert to fraction form
    13,000.96/19,485.12 = 7,458.88/x
  3. Step 3: Cross multiply
    13,000.96x = 19,485.12 × 7,458.88
  4. Step 4: Simplify right side
    13,000.96x = 145,337,171.87
  5. Step 5: Solve for x
    x = 145,337,171.87/13,000.96
  6. Step 6: Final answer
    x = 11,178.96

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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.