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Finding the Fourth Proportional to 13,707.78, 18,916.86 and 7,420.26

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Solution

The fourth proportional to 13,707.78, 18,916.86 and 7,420.26 is: 10,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.78 : 18,916.86 = 7,420.26 : x
  2. Step 2: Convert to fraction form
    13,707.78/18,916.86 = 7,420.26/x
  3. Step 3: Cross multiply
    13,707.78x = 18,916.86 × 7,420.26
  4. Step 4: Simplify right side
    13,707.78x = 140,368,019.58
  5. Step 5: Solve for x
    x = 140,368,019.58/13,707.78
  6. Step 6: Final answer
    x = 10,240.03

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1.5x scale

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.