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Finding the Fourth Proportional to 13,707.81, 18,916.79 and 7,420.19

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Solution

The fourth proportional to 13,707.81, 18,916.79 and 7,420.19 is: 10,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.81 : 18,916.79 = 7,420.19 : x
  2. Step 2: Convert to fraction form
    13,707.81/18,916.79 = 7,420.19/x
  3. Step 3: Cross multiply
    13,707.81x = 18,916.79 × 7,420.19
  4. Step 4: Simplify right side
    13,707.81x = 140,366,044.31
  5. Step 5: Solve for x
    x = 140,366,044.31/13,707.81
  6. Step 6: Final answer
    x = 10,239.86

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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.