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Finding the Fourth Proportional to 18,683.91, 25,769.22 and 11,970.16

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Solution

The fourth proportional to 18,683.91, 25,769.22 and 11,970.16 is: 16,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,683.91 : 25,769.22 = 11,970.16 : x
  2. Step 2: Convert to fraction form
    18,683.91/25,769.22 = 11,970.16/x
  3. Step 3: Cross multiply
    18,683.91x = 25,769.22 × 11,970.16
  4. Step 4: Simplify right side
    18,683.91x = 308,461,686.48
  5. Step 5: Solve for x
    x = 308,461,686.48/18,683.91
  6. Step 6: Final answer
    x = 16,509.48

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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.