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Finding the Fourth Proportional to 13,783.60, 19,021.60 and 7,496.16

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Solution

The fourth proportional to 13,783.60, 19,021.60 and 7,496.16 is: 10,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.60 : 19,021.60 = 7,496.16 : x
  2. Step 2: Convert to fraction form
    13,783.60/19,021.60 = 7,496.16/x
  3. Step 3: Cross multiply
    13,783.60x = 19,021.60 × 7,496.16
  4. Step 4: Simplify right side
    13,783.60x = 142,588,957.06
  5. Step 5: Solve for x
    x = 142,588,957.06/13,783.60
  6. Step 6: Final answer
    x = 10,344.83

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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.