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Finding the Fourth Proportional to 13,302.78, 19,918.53 and 10,424.40

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Solution

The fourth proportional to 13,302.78, 19,918.53 and 10,424.40 is: 15,608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.78 : 19,918.53 = 10,424.40 : x
  2. Step 2: Convert to fraction form
    13,302.78/19,918.53 = 10,424.40/x
  3. Step 3: Cross multiply
    13,302.78x = 19,918.53 × 10,424.40
  4. Step 4: Simplify right side
    13,302.78x = 207,638,724.13
  5. Step 5: Solve for x
    x = 207,638,724.13/13,302.78
  6. Step 6: Final answer
    x = 15,608.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.