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Finding the Fourth Proportional to 13,357, 18,430.46 and 7,387.50

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Solution

The fourth proportional to 13,357, 18,430.46 and 7,387.50 is: 10,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357 : 18,430.46 = 7,387.50 : x
  2. Step 2: Convert to fraction form
    13,357/18,430.46 = 7,387.50/x
  3. Step 3: Cross multiply
    13,357x = 18,430.46 × 7,387.50
  4. Step 4: Simplify right side
    13,357x = 136,155,023.25
  5. Step 5: Solve for x
    x = 136,155,023.25/13,357
  6. Step 6: Final answer
    x = 10,193.53

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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.