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Finding the Fourth Proportional to 13,875, 19,147.58 and 8,907

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Solution

The fourth proportional to 13,875, 19,147.58 and 8,907 is: 12,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875 : 19,147.58 = 8,907 : x
  2. Step 2: Convert to fraction form
    13,875/19,147.58 = 8,907/x
  3. Step 3: Cross multiply
    13,875x = 19,147.58 × 8,907
  4. Step 4: Simplify right side
    13,875x = 170,547,495.06
  5. Step 5: Solve for x
    x = 170,547,495.06/13,875
  6. Step 6: Final answer
    x = 12,291.71

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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.