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Finding the Fourth Proportional to 19,774.88, 29,659.44 and 7,460

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Solution

The fourth proportional to 19,774.88, 29,659.44 and 7,460 is: 11,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.88 : 29,659.44 = 7,460 : x
  2. Step 2: Convert to fraction form
    19,774.88/29,659.44 = 7,460/x
  3. Step 3: Cross multiply
    19,774.88x = 29,659.44 × 7,460
  4. Step 4: Simplify right side
    19,774.88x = 221,259,422.40
  5. Step 5: Solve for x
    x = 221,259,422.40/19,774.88
  6. Step 6: Final answer
    x = 11,188.91

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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.