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Finding the Fourth Proportional to 30,005.25, 41,407.25 and 17,430.81

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Solution

The fourth proportional to 30,005.25, 41,407.25 and 17,430.81 is: 24,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.25 : 41,407.25 = 17,430.81 : x
  2. Step 2: Convert to fraction form
    30,005.25/41,407.25 = 17,430.81/x
  3. Step 3: Cross multiply
    30,005.25x = 41,407.25 × 17,430.81
  4. Step 4: Simplify right side
    30,005.25x = 721,761,820.22
  5. Step 5: Solve for x
    x = 721,761,820.22/30,005.25
  6. Step 6: Final answer
    x = 24,054.52

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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.