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Finding the Fourth Proportional to 13,375.74, 18,457.74 and 7,407.08

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Solution

The fourth proportional to 13,375.74, 18,457.74 and 7,407.08 is: 10,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.74 : 18,457.74 = 7,407.08 : x
  2. Step 2: Convert to fraction form
    13,375.74/18,457.74 = 7,407.08/x
  3. Step 3: Cross multiply
    13,375.74x = 18,457.74 × 7,407.08
  4. Step 4: Simplify right side
    13,375.74x = 136,717,864.51
  5. Step 5: Solve for x
    x = 136,717,864.51/13,375.74
  6. Step 6: Final answer
    x = 10,221.33

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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.