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Finding the Fourth Proportional to 30,728.26, 42,409.11 and 17,985.34

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Solution

The fourth proportional to 30,728.26, 42,409.11 and 17,985.34 is: 24,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.26 : 42,409.11 = 17,985.34 : x
  2. Step 2: Convert to fraction form
    30,728.26/42,409.11 = 17,985.34/x
  3. Step 3: Cross multiply
    30,728.26x = 42,409.11 × 17,985.34
  4. Step 4: Simplify right side
    30,728.26x = 762,742,262.45
  5. Step 5: Solve for x
    x = 762,742,262.45/30,728.26
  6. Step 6: Final answer
    x = 24,822.18

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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.