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Finding the Fourth Proportional to 8,731.64, 12,048.53 and 4,955.16

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Solution

The fourth proportional to 8,731.64, 12,048.53 and 4,955.16 is: 6,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.64 : 12,048.53 = 4,955.16 : x
  2. Step 2: Convert to fraction form
    8,731.64/12,048.53 = 4,955.16/x
  3. Step 3: Cross multiply
    8,731.64x = 12,048.53 × 4,955.16
  4. Step 4: Simplify right side
    8,731.64x = 59,702,371.60
  5. Step 5: Solve for x
    x = 59,702,371.60/8,731.64
  6. Step 6: Final answer
    x = 6,837.47

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Why These Related Problems?

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