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Finding the Fourth Proportional to 15,692.69, 21,629.88 and 15,277.16

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Solution

The fourth proportional to 15,692.69, 21,629.88 and 15,277.16 is: 21,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.69 : 21,629.88 = 15,277.16 : x
  2. Step 2: Convert to fraction form
    15,692.69/21,629.88 = 15,277.16/x
  3. Step 3: Cross multiply
    15,692.69x = 21,629.88 × 15,277.16
  4. Step 4: Simplify right side
    15,692.69x = 330,443,029.39
  5. Step 5: Solve for x
    x = 330,443,029.39/15,692.69
  6. Step 6: Final answer
    x = 21,057.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.