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Finding the Fourth Proportional to 13,386.74, 18,471.78 and 7,644.31

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Solution

The fourth proportional to 13,386.74, 18,471.78 and 7,644.31 is: 10,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.74 : 18,471.78 = 7,644.31 : x
  2. Step 2: Convert to fraction form
    13,386.74/18,471.78 = 7,644.31/x
  3. Step 3: Cross multiply
    13,386.74x = 18,471.78 × 7,644.31
  4. Step 4: Simplify right side
    13,386.74x = 141,203,966.39
  5. Step 5: Solve for x
    x = 141,203,966.39/13,386.74
  6. Step 6: Final answer
    x = 10,548.05

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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.