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Finding the Fourth Proportional to 30,652.07, 45,978.20 and 8,464.95

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Solution

The fourth proportional to 30,652.07, 45,978.20 and 8,464.95 is: 12,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.07 : 45,978.20 = 8,464.95 : x
  2. Step 2: Convert to fraction form
    30,652.07/45,978.20 = 8,464.95/x
  3. Step 3: Cross multiply
    30,652.07x = 45,978.20 × 8,464.95
  4. Step 4: Simplify right side
    30,652.07x = 389,203,153.51
  5. Step 5: Solve for x
    x = 389,203,153.51/30,652.07
  6. Step 6: Final answer
    x = 12,697.45

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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.