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Finding the Fourth Proportional to 13,434.96, 18,540 and 7,466.52

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Solution

The fourth proportional to 13,434.96, 18,540 and 7,466.52 is: 10,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.96 : 18,540 = 7,466.52 : x
  2. Step 2: Convert to fraction form
    13,434.96/18,540 = 7,466.52/x
  3. Step 3: Cross multiply
    13,434.96x = 18,540 × 7,466.52
  4. Step 4: Simplify right side
    13,434.96x = 138,429,280.80
  5. Step 5: Solve for x
    x = 138,429,280.80/13,434.96
  6. Step 6: Final answer
    x = 10,303.66

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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.