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Finding the Fourth Proportional to 30,978.02, 42,749.16 and 16,830.56

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Solution

The fourth proportional to 30,978.02, 42,749.16 and 16,830.56 is: 23,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.02 : 42,749.16 = 16,830.56 : x
  2. Step 2: Convert to fraction form
    30,978.02/42,749.16 = 16,830.56/x
  3. Step 3: Cross multiply
    30,978.02x = 42,749.16 × 16,830.56
  4. Step 4: Simplify right side
    30,978.02x = 719,492,302.33
  5. Step 5: Solve for x
    x = 719,492,302.33/30,978.02
  6. Step 6: Final answer
    x = 23,225.90

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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.