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Finding the Fourth Proportional to 9,405.04, 12,978.48 and 5,156.14

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Solution

The fourth proportional to 9,405.04, 12,978.48 and 5,156.14 is: 7,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.04 : 12,978.48 = 5,156.14 : x
  2. Step 2: Convert to fraction form
    9,405.04/12,978.48 = 5,156.14/x
  3. Step 3: Cross multiply
    9,405.04x = 12,978.48 × 5,156.14
  4. Step 4: Simplify right side
    9,405.04x = 66,918,859.87
  5. Step 5: Solve for x
    x = 66,918,859.87/9,405.04
  6. Step 6: Final answer
    x = 7,115.21

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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.