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Finding the Fourth Proportional to 14,072.81, 19,417.30 and 8,406.45

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Solution

The fourth proportional to 14,072.81, 19,417.30 and 8,406.45 is: 11,599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.81 : 19,417.30 = 8,406.45 : x
  2. Step 2: Convert to fraction form
    14,072.81/19,417.30 = 8,406.45/x
  3. Step 3: Cross multiply
    14,072.81x = 19,417.30 × 8,406.45
  4. Step 4: Simplify right side
    14,072.81x = 163,230,564.21
  5. Step 5: Solve for x
    x = 163,230,564.21/14,072.81
  6. Step 6: Final answer
    x = 11,599.00

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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.