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Finding the Fourth Proportional to 7,116, 10,678.56 and 3,012

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Solution

The fourth proportional to 7,116, 10,678.56 and 3,012 is: 4,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116 : 10,678.56 = 3,012 : x
  2. Step 2: Convert to fraction form
    7,116/10,678.56 = 3,012/x
  3. Step 3: Cross multiply
    7,116x = 10,678.56 × 3,012
  4. Step 4: Simplify right side
    7,116x = 32,163,822.72
  5. Step 5: Solve for x
    x = 32,163,822.72/7,116
  6. Step 6: Final answer
    x = 4,519.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.