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Finding the Fourth Proportional to 19,710, 29,577.96 and 7,398

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Solution

The fourth proportional to 19,710, 29,577.96 and 7,398 is: 11,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710 : 29,577.96 = 7,398 : x
  2. Step 2: Convert to fraction form
    19,710/29,577.96 = 7,398/x
  3. Step 3: Cross multiply
    19,710x = 29,577.96 × 7,398
  4. Step 4: Simplify right side
    19,710x = 218,817,748.08
  5. Step 5: Solve for x
    x = 218,817,748.08/19,710
  6. Step 6: Final answer
    x = 11,101.86

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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.