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Finding the Fourth Proportional to 11,157, 15,399.06 and 6,681.75

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Solution

The fourth proportional to 11,157, 15,399.06 and 6,681.75 is: 9,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157 : 15,399.06 = 6,681.75 : x
  2. Step 2: Convert to fraction form
    11,157/15,399.06 = 6,681.75/x
  3. Step 3: Cross multiply
    11,157x = 15,399.06 × 6,681.75
  4. Step 4: Simplify right side
    11,157x = 102,892,669.16
  5. Step 5: Solve for x
    x = 102,892,669.16/11,157
  6. Step 6: Final answer
    x = 9,222.25

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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.