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Finding the Fourth Proportional to 13,377.70, 18,461.37 and 7,409.46

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Solution

The fourth proportional to 13,377.70, 18,461.37 and 7,409.46 is: 10,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.70 : 18,461.37 = 7,409.46 : x
  2. Step 2: Convert to fraction form
    13,377.70/18,461.37 = 7,409.46/x
  3. Step 3: Cross multiply
    13,377.70x = 18,461.37 × 7,409.46
  4. Step 4: Simplify right side
    13,377.70x = 136,788,745.51
  5. Step 5: Solve for x
    x = 136,788,745.51/13,377.70
  6. Step 6: Final answer
    x = 10,225.14

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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.