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Finding the Fourth Proportional to 20,577.36, 30,859.60 and 7,428

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Solution

The fourth proportional to 20,577.36, 30,859.60 and 7,428 is: 11,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.36 : 30,859.60 = 7,428 : x
  2. Step 2: Convert to fraction form
    20,577.36/30,859.60 = 7,428/x
  3. Step 3: Cross multiply
    20,577.36x = 30,859.60 × 7,428
  4. Step 4: Simplify right side
    20,577.36x = 229,225,108.80
  5. Step 5: Solve for x
    x = 229,225,108.80/20,577.36
  6. Step 6: Final answer
    x = 11,139.68

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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.