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Finding the Fourth Proportional to 18,502.51, 27,762.88 and 8,640.36

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Solution

The fourth proportional to 18,502.51, 27,762.88 and 8,640.36 is: 12,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502.51 : 27,762.88 = 8,640.36 : x
  2. Step 2: Convert to fraction form
    18,502.51/27,762.88 = 8,640.36/x
  3. Step 3: Cross multiply
    18,502.51x = 27,762.88 × 8,640.36
  4. Step 4: Simplify right side
    18,502.51x = 239,881,117.42
  5. Step 5: Solve for x
    x = 239,881,117.42/18,502.51
  6. Step 6: Final answer
    x = 12,964.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.