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Finding the Fourth Proportional to 13,426.49, 18,527.76 and 7,457.81

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Solution

The fourth proportional to 13,426.49, 18,527.76 and 7,457.81 is: 10,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.49 : 18,527.76 = 7,457.81 : x
  2. Step 2: Convert to fraction form
    13,426.49/18,527.76 = 7,457.81/x
  3. Step 3: Cross multiply
    13,426.49x = 18,527.76 × 7,457.81
  4. Step 4: Simplify right side
    13,426.49x = 138,176,421.17
  5. Step 5: Solve for x
    x = 138,176,421.17/13,426.49
  6. Step 6: Final answer
    x = 10,291.33

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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.