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Finding the Fourth Proportional to 7,512, 11,254.64 and 6,405.14

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Solution

The fourth proportional to 7,512, 11,254.64 and 6,405.14 is: 9,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512 : 11,254.64 = 6,405.14 : x
  2. Step 2: Convert to fraction form
    7,512/11,254.64 = 6,405.14/x
  3. Step 3: Cross multiply
    7,512x = 11,254.64 × 6,405.14
  4. Step 4: Simplify right side
    7,512x = 72,087,456.55
  5. Step 5: Solve for x
    x = 72,087,456.55/7,512
  6. Step 6: Final answer
    x = 9,596.31

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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.