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Finding the Fourth Proportional to 15,225.50, 21,012 and 9,256.20

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Solution

The fourth proportional to 15,225.50, 21,012 and 9,256.20 is: 12,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,225.50 : 21,012 = 9,256.20 : x
  2. Step 2: Convert to fraction form
    15,225.50/21,012 = 9,256.20/x
  3. Step 3: Cross multiply
    15,225.50x = 21,012 × 9,256.20
  4. Step 4: Simplify right side
    15,225.50x = 194,491,274.40
  5. Step 5: Solve for x
    x = 194,491,274.40/15,225.50
  6. Step 6: Final answer
    x = 12,774.05

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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.