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Finding the Fourth Proportional to 19,513.98, 29,270.91 and 7,659.45

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Solution

The fourth proportional to 19,513.98, 29,270.91 and 7,659.45 is: 11,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.98 : 29,270.91 = 7,659.45 : x
  2. Step 2: Convert to fraction form
    19,513.98/29,270.91 = 7,659.45/x
  3. Step 3: Cross multiply
    19,513.98x = 29,270.91 × 7,659.45
  4. Step 4: Simplify right side
    19,513.98x = 224,199,208.71
  5. Step 5: Solve for x
    x = 224,199,208.71/19,513.98
  6. Step 6: Final answer
    x = 11,489.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.