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Finding the Fourth Proportional to 15,222.50, 20,995.16 and 9,772.10

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Solution

The fourth proportional to 15,222.50, 20,995.16 and 9,772.10 is: 13,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222.50 : 20,995.16 = 9,772.10 : x
  2. Step 2: Convert to fraction form
    15,222.50/20,995.16 = 9,772.10/x
  3. Step 3: Cross multiply
    15,222.50x = 20,995.16 × 9,772.10
  4. Step 4: Simplify right side
    15,222.50x = 205,166,649.20
  5. Step 5: Solve for x
    x = 205,166,649.20/15,222.50
  6. Step 6: Final answer
    x = 13,477.86

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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.