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Finding the Fourth Proportional to 13,673.16, 18,869.34 and 7,705.08

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Solution

The fourth proportional to 13,673.16, 18,869.34 and 7,705.08 is: 10,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.16 : 18,869.34 = 7,705.08 : x
  2. Step 2: Convert to fraction form
    13,673.16/18,869.34 = 7,705.08/x
  3. Step 3: Cross multiply
    13,673.16x = 18,869.34 × 7,705.08
  4. Step 4: Simplify right side
    13,673.16x = 145,389,774.25
  5. Step 5: Solve for x
    x = 145,389,774.25/13,673.16
  6. Step 6: Final answer
    x = 10,633.22

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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.