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Finding the Fourth Proportional to 13,356, 18,429.08 and 7,386.50

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Solution

The fourth proportional to 13,356, 18,429.08 and 7,386.50 is: 10,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,356 : 18,429.08 = 7,386.50 : x
  2. Step 2: Convert to fraction form
    13,356/18,429.08 = 7,386.50/x
  3. Step 3: Cross multiply
    13,356x = 18,429.08 × 7,386.50
  4. Step 4: Simplify right side
    13,356x = 136,126,399.42
  5. Step 5: Solve for x
    x = 136,126,399.42/13,356
  6. Step 6: Final answer
    x = 10,192.15

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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.