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Finding the Fourth Proportional to 40,477.05, 60,720.75 and 13,828.14

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Solution

The fourth proportional to 40,477.05, 60,720.75 and 13,828.14 is: 20,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,477.05 : 60,720.75 = 13,828.14 : x
  2. Step 2: Convert to fraction form
    40,477.05/60,720.75 = 13,828.14/x
  3. Step 3: Cross multiply
    40,477.05x = 60,720.75 × 13,828.14
  4. Step 4: Simplify right side
    40,477.05x = 839,655,031.91
  5. Step 5: Solve for x
    x = 839,655,031.91/40,477.05
  6. Step 6: Final answer
    x = 20,743.98

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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.