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Finding the Fourth Proportional to 13,050, 18,009.48 and 7,460.88

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Solution

The fourth proportional to 13,050, 18,009.48 and 7,460.88 is: 10,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050 : 18,009.48 = 7,460.88 : x
  2. Step 2: Convert to fraction form
    13,050/18,009.48 = 7,460.88/x
  3. Step 3: Cross multiply
    13,050x = 18,009.48 × 7,460.88
  4. Step 4: Simplify right side
    13,050x = 134,366,569.14
  5. Step 5: Solve for x
    x = 134,366,569.14/13,050
  6. Step 6: Final answer
    x = 10,296.29

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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.