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Finding the Fourth Proportional to 30,430, 45,650.76 and 14,014

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Solution

The fourth proportional to 30,430, 45,650.76 and 14,014 is: 21,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430 : 45,650.76 = 14,014 : x
  2. Step 2: Convert to fraction form
    30,430/45,650.76 = 14,014/x
  3. Step 3: Cross multiply
    30,430x = 45,650.76 × 14,014
  4. Step 4: Simplify right side
    30,430x = 639,749,750.64
  5. Step 5: Solve for x
    x = 639,749,750.64/30,430
  6. Step 6: Final answer
    x = 21,023.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.