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Finding the Fourth Proportional to 22,802.26, 31,465.50 and 13,369

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Solution

The fourth proportional to 22,802.26, 31,465.50 and 13,369 is: 18,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.26 : 31,465.50 = 13,369 : x
  2. Step 2: Convert to fraction form
    22,802.26/31,465.50 = 13,369/x
  3. Step 3: Cross multiply
    22,802.26x = 31,465.50 × 13,369
  4. Step 4: Simplify right side
    22,802.26x = 420,662,269.50
  5. Step 5: Solve for x
    x = 420,662,269.50/22,802.26
  6. Step 6: Final answer
    x = 18,448.27

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Why These Related Problems?

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