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Finding the Fourth Proportional to 25,765, 38,637.66 and 10,980.84

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Solution

The fourth proportional to 25,765, 38,637.66 and 10,980.84 is: 16,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765 : 38,637.66 = 10,980.84 : x
  2. Step 2: Convert to fraction form
    25,765/38,637.66 = 10,980.84/x
  3. Step 3: Cross multiply
    25,765x = 38,637.66 × 10,980.84
  4. Step 4: Simplify right side
    25,765x = 424,273,962.43
  5. Step 5: Solve for x
    x = 424,273,962.43/25,765
  6. Step 6: Final answer
    x = 16,467.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.