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Finding the Fourth Proportional to 10,405.84, 14,361.47 and 5,869.45

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Solution

The fourth proportional to 10,405.84, 14,361.47 and 5,869.45 is: 8,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.84 : 14,361.47 = 5,869.45 : x
  2. Step 2: Convert to fraction form
    10,405.84/14,361.47 = 5,869.45/x
  3. Step 3: Cross multiply
    10,405.84x = 14,361.47 × 5,869.45
  4. Step 4: Simplify right side
    10,405.84x = 84,293,924.20
  5. Step 5: Solve for x
    x = 84,293,924.20/10,405.84
  6. Step 6: Final answer
    x = 8,100.64

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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.