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Finding the Fourth Proportional to 15,271, 21,069.90 and 9,219.76

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Solution

The fourth proportional to 15,271, 21,069.90 and 9,219.76 is: 12,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,271 : 21,069.90 = 9,219.76 : x
  2. Step 2: Convert to fraction form
    15,271/21,069.90 = 9,219.76/x
  3. Step 3: Cross multiply
    15,271x = 21,069.90 × 9,219.76
  4. Step 4: Simplify right side
    15,271x = 194,259,421.22
  5. Step 5: Solve for x
    x = 194,259,421.22/15,271
  6. Step 6: Final answer
    x = 12,720.81

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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.