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Finding the Fourth Proportional to 30,672, 42,317.64 and 18,729.36

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Solution

The fourth proportional to 30,672, 42,317.64 and 18,729.36 is: 25,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672 : 42,317.64 = 18,729.36 : x
  2. Step 2: Convert to fraction form
    30,672/42,317.64 = 18,729.36/x
  3. Step 3: Cross multiply
    30,672x = 42,317.64 × 18,729.36
  4. Step 4: Simplify right side
    30,672x = 792,582,313.91
  5. Step 5: Solve for x
    x = 792,582,313.91/30,672
  6. Step 6: Final answer
    x = 25,840.58

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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.