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Finding the Fourth Proportional to 20,559.77, 30,839.71 and 4,977.40

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Solution

The fourth proportional to 20,559.77, 30,839.71 and 4,977.40 is: 7,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,559.77 : 30,839.71 = 4,977.40 : x
  2. Step 2: Convert to fraction form
    20,559.77/30,839.71 = 4,977.40/x
  3. Step 3: Cross multiply
    20,559.77x = 30,839.71 × 4,977.40
  4. Step 4: Simplify right side
    20,559.77x = 153,501,564.17
  5. Step 5: Solve for x
    x = 153,501,564.17/20,559.77
  6. Step 6: Final answer
    x = 7,466.11

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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.