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Finding the Fourth Proportional to 13,448.66, 18,559.23 and 7,783.41

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Solution

The fourth proportional to 13,448.66, 18,559.23 and 7,783.41 is: 10,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448.66 : 18,559.23 = 7,783.41 : x
  2. Step 2: Convert to fraction form
    13,448.66/18,559.23 = 7,783.41/x
  3. Step 3: Cross multiply
    13,448.66x = 18,559.23 × 7,783.41
  4. Step 4: Simplify right side
    13,448.66x = 144,454,096.37
  5. Step 5: Solve for x
    x = 144,454,096.37/13,448.66
  6. Step 6: Final answer
    x = 10,741.15

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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.