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Finding the Fourth Proportional to 14,135.76, 21,203.76 and 3,747.51

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Solution

The fourth proportional to 14,135.76, 21,203.76 and 3,747.51 is: 5,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.76 : 21,203.76 = 3,747.51 : x
  2. Step 2: Convert to fraction form
    14,135.76/21,203.76 = 3,747.51/x
  3. Step 3: Cross multiply
    14,135.76x = 21,203.76 × 3,747.51
  4. Step 4: Simplify right side
    14,135.76x = 79,461,302.64
  5. Step 5: Solve for x
    x = 79,461,302.64/14,135.76
  6. Step 6: Final answer
    x = 5,621.30

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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.