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Finding the Fourth Proportional to 13,841.50, 20,762.25 and 4,607.50

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Solution

The fourth proportional to 13,841.50, 20,762.25 and 4,607.50 is: 6,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.50 : 20,762.25 = 4,607.50 : x
  2. Step 2: Convert to fraction form
    13,841.50/20,762.25 = 4,607.50/x
  3. Step 3: Cross multiply
    13,841.50x = 20,762.25 × 4,607.50
  4. Step 4: Simplify right side
    13,841.50x = 95,662,066.88
  5. Step 5: Solve for x
    x = 95,662,066.88/13,841.50
  6. Step 6: Final answer
    x = 6,911.25

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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.