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Finding the Fourth Proportional to 12,507.12, 18,833.54 and 9,243

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Solution

The fourth proportional to 12,507.12, 18,833.54 and 9,243 is: 13,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.12 : 18,833.54 = 9,243 : x
  2. Step 2: Convert to fraction form
    12,507.12/18,833.54 = 9,243/x
  3. Step 3: Cross multiply
    12,507.12x = 18,833.54 × 9,243
  4. Step 4: Simplify right side
    12,507.12x = 174,078,364.01
  5. Step 5: Solve for x
    x = 174,078,364.01/12,507.12
  6. Step 6: Final answer
    x = 13,918.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.