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Finding the Fourth Proportional to 30,954.76, 42,717.60 and 16,807.60

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Solution

The fourth proportional to 30,954.76, 42,717.60 and 16,807.60 is: 23,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.76 : 42,717.60 = 16,807.60 : x
  2. Step 2: Convert to fraction form
    30,954.76/42,717.60 = 16,807.60/x
  3. Step 3: Cross multiply
    30,954.76x = 42,717.60 × 16,807.60
  4. Step 4: Simplify right side
    30,954.76x = 717,980,333.76
  5. Step 5: Solve for x
    x = 717,980,333.76/30,954.76
  6. Step 6: Final answer
    x = 23,194.50

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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.