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Finding the Fourth Proportional to 11,261.80, 15,541.73 and 7,478.44

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Solution

The fourth proportional to 11,261.80, 15,541.73 and 7,478.44 is: 10,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.80 : 15,541.73 = 7,478.44 : x
  2. Step 2: Convert to fraction form
    11,261.80/15,541.73 = 7,478.44/x
  3. Step 3: Cross multiply
    11,261.80x = 15,541.73 × 7,478.44
  4. Step 4: Simplify right side
    11,261.80x = 116,227,916.19
  5. Step 5: Solve for x
    x = 116,227,916.19/11,261.80
  6. Step 6: Final answer
    x = 10,320.54

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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.