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Finding the Fourth Proportional to 13,012, 19,518.32 and 4,692.72

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Solution

The fourth proportional to 13,012, 19,518.32 and 4,692.72 is: 7,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012 : 19,518.32 = 4,692.72 : x
  2. Step 2: Convert to fraction form
    13,012/19,518.32 = 4,692.72/x
  3. Step 3: Cross multiply
    13,012x = 19,518.32 × 4,692.72
  4. Step 4: Simplify right side
    13,012x = 91,594,010.63
  5. Step 5: Solve for x
    x = 91,594,010.63/13,012
  6. Step 6: Final answer
    x = 7,039.20

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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.