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Finding the Fourth Proportional to 9,187, 12,678.06 and 4,995.28

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Solution

The fourth proportional to 9,187, 12,678.06 and 4,995.28 is: 6,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187 : 12,678.06 = 4,995.28 : x
  2. Step 2: Convert to fraction form
    9,187/12,678.06 = 4,995.28/x
  3. Step 3: Cross multiply
    9,187x = 12,678.06 × 4,995.28
  4. Step 4: Simplify right side
    9,187x = 63,330,459.56
  5. Step 5: Solve for x
    x = 63,330,459.56/9,187
  6. Step 6: Final answer
    x = 6,893.49

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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.