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Finding the Fourth Proportional to 13,009.50, 17,953.14 and 7,420.50

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Solution

The fourth proportional to 13,009.50, 17,953.14 and 7,420.50 is: 10,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.50 : 17,953.14 = 7,420.50 : x
  2. Step 2: Convert to fraction form
    13,009.50/17,953.14 = 7,420.50/x
  3. Step 3: Cross multiply
    13,009.50x = 17,953.14 × 7,420.50
  4. Step 4: Simplify right side
    13,009.50x = 133,221,275.37
  5. Step 5: Solve for x
    x = 133,221,275.37/13,009.50
  6. Step 6: Final answer
    x = 10,240.31

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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.