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Finding the Fourth Proportional to 11,538, 15,921.36 and 6,501.39

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Solution

The fourth proportional to 11,538, 15,921.36 and 6,501.39 is: 8,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538 : 15,921.36 = 6,501.39 : x
  2. Step 2: Convert to fraction form
    11,538/15,921.36 = 6,501.39/x
  3. Step 3: Cross multiply
    11,538x = 15,921.36 × 6,501.39
  4. Step 4: Simplify right side
    11,538x = 103,510,970.69
  5. Step 5: Solve for x
    x = 103,510,970.69/11,538
  6. Step 6: Final answer
    x = 8,971.31

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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.