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Finding the Fourth Proportional to 30,989.76, 42,769.80 and 17,563.20

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Solution

The fourth proportional to 30,989.76, 42,769.80 and 17,563.20 is: 24,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.76 : 42,769.80 = 17,563.20 : x
  2. Step 2: Convert to fraction form
    30,989.76/42,769.80 = 17,563.20/x
  3. Step 3: Cross multiply
    30,989.76x = 42,769.80 × 17,563.20
  4. Step 4: Simplify right side
    30,989.76x = 751,174,551.36
  5. Step 5: Solve for x
    x = 751,174,551.36/30,989.76
  6. Step 6: Final answer
    x = 24,239.44

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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.