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Finding the Fourth Proportional to 15,214.79, 20,996 and 8,315.69

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Solution

The fourth proportional to 15,214.79, 20,996 and 8,315.69 is: 11,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214.79 : 20,996 = 8,315.69 : x
  2. Step 2: Convert to fraction form
    15,214.79/20,996 = 8,315.69/x
  3. Step 3: Cross multiply
    15,214.79x = 20,996 × 8,315.69
  4. Step 4: Simplify right side
    15,214.79x = 174,596,227.24
  5. Step 5: Solve for x
    x = 174,596,227.24/15,214.79
  6. Step 6: Final answer
    x = 11,475.43

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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.