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Finding the Fourth Proportional to 22,580.19, 31,159.32 and 12,369.19

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Solution

The fourth proportional to 22,580.19, 31,159.32 and 12,369.19 is: 17,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.19 : 31,159.32 = 12,369.19 : x
  2. Step 2: Convert to fraction form
    22,580.19/31,159.32 = 12,369.19/x
  3. Step 3: Cross multiply
    22,580.19x = 31,159.32 × 12,369.19
  4. Step 4: Simplify right side
    22,580.19x = 385,415,553.07
  5. Step 5: Solve for x
    x = 385,415,553.07/22,580.19
  6. Step 6: Final answer
    x = 17,068.75

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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.