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Finding the Fourth Proportional to 13,720, 18,914.16 and 9,750.19

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Solution

The fourth proportional to 13,720, 18,914.16 and 9,750.19 is: 13,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720 : 18,914.16 = 9,750.19 : x
  2. Step 2: Convert to fraction form
    13,720/18,914.16 = 9,750.19/x
  3. Step 3: Cross multiply
    13,720x = 18,914.16 × 9,750.19
  4. Step 4: Simplify right side
    13,720x = 184,416,653.69
  5. Step 5: Solve for x
    x = 184,416,653.69/13,720
  6. Step 6: Final answer
    x = 13,441.45

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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.