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Finding the Fourth Proportional to 8,905.47, 13,361.28 and 3,978.51

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Solution

The fourth proportional to 8,905.47, 13,361.28 and 3,978.51 is: 5,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.47 : 13,361.28 = 3,978.51 : x
  2. Step 2: Convert to fraction form
    8,905.47/13,361.28 = 3,978.51/x
  3. Step 3: Cross multiply
    8,905.47x = 13,361.28 × 3,978.51
  4. Step 4: Simplify right side
    8,905.47x = 53,157,966.20
  5. Step 5: Solve for x
    x = 53,157,966.20/8,905.47
  6. Step 6: Final answer
    x = 5,969.14

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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.