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Finding the Fourth Proportional to 30,987.76, 42,763.02 and 16,840.48

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Solution

The fourth proportional to 30,987.76, 42,763.02 and 16,840.48 is: 23,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,987.76 : 42,763.02 = 16,840.48 : x
  2. Step 2: Convert to fraction form
    30,987.76/42,763.02 = 16,840.48/x
  3. Step 3: Cross multiply
    30,987.76x = 42,763.02 × 16,840.48
  4. Step 4: Simplify right side
    30,987.76x = 720,149,783.05
  5. Step 5: Solve for x
    x = 720,149,783.05/30,987.76
  6. Step 6: Final answer
    x = 23,239.81

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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.