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Finding the Fourth Proportional to 10,035, 13,848.30 and 5,619

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Solution

The fourth proportional to 10,035, 13,848.30 and 5,619 is: 7,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035 : 13,848.30 = 5,619 : x
  2. Step 2: Convert to fraction form
    10,035/13,848.30 = 5,619/x
  3. Step 3: Cross multiply
    10,035x = 13,848.30 × 5,619
  4. Step 4: Simplify right side
    10,035x = 77,813,597.70
  5. Step 5: Solve for x
    x = 77,813,597.70/10,035
  6. Step 6: Final answer
    x = 7,754.22

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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.