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Finding the Fourth Proportional to 13,705.60, 18,914.62 and 7,735.10

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Solution

The fourth proportional to 13,705.60, 18,914.62 and 7,735.10 is: 10,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.60 : 18,914.62 = 7,735.10 : x
  2. Step 2: Convert to fraction form
    13,705.60/18,914.62 = 7,735.10/x
  3. Step 3: Cross multiply
    13,705.60x = 18,914.62 × 7,735.10
  4. Step 4: Simplify right side
    13,705.60x = 146,306,477.16
  5. Step 5: Solve for x
    x = 146,306,477.16/13,705.60
  6. Step 6: Final answer
    x = 10,674.94

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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.