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Finding the Fourth Proportional to 13,356.40, 18,431.72 and 7,388

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Solution

The fourth proportional to 13,356.40, 18,431.72 and 7,388 is: 10,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,356.40 : 18,431.72 = 7,388 : x
  2. Step 2: Convert to fraction form
    13,356.40/18,431.72 = 7,388/x
  3. Step 3: Cross multiply
    13,356.40x = 18,431.72 × 7,388
  4. Step 4: Simplify right side
    13,356.40x = 136,173,547.36
  5. Step 5: Solve for x
    x = 136,173,547.36/13,356.40
  6. Step 6: Final answer
    x = 10,195.38

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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.