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Finding the Fourth Proportional to 35,430, 48,889.12 and 20,321.88

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Solution

The fourth proportional to 35,430, 48,889.12 and 20,321.88 is: 28,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,430 : 48,889.12 = 20,321.88 : x
  2. Step 2: Convert to fraction form
    35,430/48,889.12 = 20,321.88/x
  3. Step 3: Cross multiply
    35,430x = 48,889.12 × 20,321.88
  4. Step 4: Simplify right side
    35,430x = 993,518,829.95
  5. Step 5: Solve for x
    x = 993,518,829.95/35,430
  6. Step 6: Final answer
    x = 28,041.74

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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.