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Finding the Fourth Proportional to 30,564.69, 45,851.30 and 13,928.91

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Solution

The fourth proportional to 30,564.69, 45,851.30 and 13,928.91 is: 20,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.69 : 45,851.30 = 13,928.91 : x
  2. Step 2: Convert to fraction form
    30,564.69/45,851.30 = 13,928.91/x
  3. Step 3: Cross multiply
    30,564.69x = 45,851.30 × 13,928.91
  4. Step 4: Simplify right side
    30,564.69x = 638,658,561.44
  5. Step 5: Solve for x
    x = 638,658,561.44/30,564.69
  6. Step 6: Final answer
    x = 20,895.31

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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.