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Finding the Fourth Proportional to 22,810.14, 31,477.95 and 13,378.62

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Solution

The fourth proportional to 22,810.14, 31,477.95 and 13,378.62 is: 18,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.14 : 31,477.95 = 13,378.62 : x
  2. Step 2: Convert to fraction form
    22,810.14/31,477.95 = 13,378.62/x
  3. Step 3: Cross multiply
    22,810.14x = 31,477.95 × 13,378.62
  4. Step 4: Simplify right side
    22,810.14x = 421,131,531.43
  5. Step 5: Solve for x
    x = 421,131,531.43/22,810.14
  6. Step 6: Final answer
    x = 18,462.47

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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.