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Finding the Fourth Proportional to 13,830.72, 19,086.08 and 7,543.04

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Solution

The fourth proportional to 13,830.72, 19,086.08 and 7,543.04 is: 10,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.72 : 19,086.08 = 7,543.04 : x
  2. Step 2: Convert to fraction form
    13,830.72/19,086.08 = 7,543.04/x
  3. Step 3: Cross multiply
    13,830.72x = 19,086.08 × 7,543.04
  4. Step 4: Simplify right side
    13,830.72x = 143,967,064.88
  5. Step 5: Solve for x
    x = 143,967,064.88/13,830.72
  6. Step 6: Final answer
    x = 10,409.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.