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Finding the Fourth Proportional to 11,943.02, 16,478.16 and 7,227.20

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Solution

The fourth proportional to 11,943.02, 16,478.16 and 7,227.20 is: 9,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.02 : 16,478.16 = 7,227.20 : x
  2. Step 2: Convert to fraction form
    11,943.02/16,478.16 = 7,227.20/x
  3. Step 3: Cross multiply
    11,943.02x = 16,478.16 × 7,227.20
  4. Step 4: Simplify right side
    11,943.02x = 119,090,957.95
  5. Step 5: Solve for x
    x = 119,090,957.95/11,943.02
  6. Step 6: Final answer
    x = 9,971.59

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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.