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Finding the Fourth Proportional to 16,312.56, 22,515.40 and 9,243.16

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Solution

The fourth proportional to 16,312.56, 22,515.40 and 9,243.16 is: 12,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.56 : 22,515.40 = 9,243.16 : x
  2. Step 2: Convert to fraction form
    16,312.56/22,515.40 = 9,243.16/x
  3. Step 3: Cross multiply
    16,312.56x = 22,515.40 × 9,243.16
  4. Step 4: Simplify right side
    16,312.56x = 208,113,444.66
  5. Step 5: Solve for x
    x = 208,113,444.66/16,312.56
  6. Step 6: Final answer
    x = 12,757.87

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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.