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Finding the Fourth Proportional to 19,459.44, 29,198.88 and 7,776

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Solution

The fourth proportional to 19,459.44, 29,198.88 and 7,776 is: 11,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,459.44 : 29,198.88 = 7,776 : x
  2. Step 2: Convert to fraction form
    19,459.44/29,198.88 = 7,776/x
  3. Step 3: Cross multiply
    19,459.44x = 29,198.88 × 7,776
  4. Step 4: Simplify right side
    19,459.44x = 227,050,490.88
  5. Step 5: Solve for x
    x = 227,050,490.88/19,459.44
  6. Step 6: Final answer
    x = 11,667.88

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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.