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Finding the Fourth Proportional to 13,554, 18,703.44 and 7,585.38

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Solution

The fourth proportional to 13,554, 18,703.44 and 7,585.38 is: 10,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554 : 18,703.44 = 7,585.38 : x
  2. Step 2: Convert to fraction form
    13,554/18,703.44 = 7,585.38/x
  3. Step 3: Cross multiply
    13,554x = 18,703.44 × 7,585.38
  4. Step 4: Simplify right side
    13,554x = 141,872,699.71
  5. Step 5: Solve for x
    x = 141,872,699.71/13,554
  6. Step 6: Final answer
    x = 10,467.22

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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.