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Finding the Fourth Proportional to 10,457.97, 14,431.95 and 5,742.21

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Solution

The fourth proportional to 10,457.97, 14,431.95 and 5,742.21 is: 7,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.97 : 14,431.95 = 5,742.21 : x
  2. Step 2: Convert to fraction form
    10,457.97/14,431.95 = 5,742.21/x
  3. Step 3: Cross multiply
    10,457.97x = 14,431.95 × 5,742.21
  4. Step 4: Simplify right side
    10,457.97x = 82,871,287.61
  5. Step 5: Solve for x
    x = 82,871,287.61/10,457.97
  6. Step 6: Final answer
    x = 7,924.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.